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Finding the Fourth Proportional to 16,408.69, 22,624.24 and 11,377.24

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Solution

The fourth proportional to 16,408.69, 22,624.24 and 11,377.24 is: 15,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.69 : 22,624.24 = 11,377.24 : x
  2. Step 2: Convert to fraction form
    16,408.69/22,624.24 = 11,377.24/x
  3. Step 3: Cross multiply
    16,408.69x = 22,624.24 × 11,377.24
  4. Step 4: Simplify right side
    16,408.69x = 257,401,408.30
  5. Step 5: Solve for x
    x = 257,401,408.30/16,408.69
  6. Step 6: Final answer
    x = 15,686.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.