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Finding the Fourth Proportional to 16,408.50, 24,612.75 and 7,042.47

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Solution

The fourth proportional to 16,408.50, 24,612.75 and 7,042.47 is: 10,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.50 : 24,612.75 = 7,042.47 : x
  2. Step 2: Convert to fraction form
    16,408.50/24,612.75 = 7,042.47/x
  3. Step 3: Cross multiply
    16,408.50x = 24,612.75 × 7,042.47
  4. Step 4: Simplify right side
    16,408.50x = 173,334,553.49
  5. Step 5: Solve for x
    x = 173,334,553.49/16,408.50
  6. Step 6: Final answer
    x = 10,563.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.