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Finding the Fourth Proportional to 16,234.30, 22,377.09 and 16,234.30

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Solution

The fourth proportional to 16,234.30, 22,377.09 and 16,234.30 is: 22,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.30 : 22,377.09 = 16,234.30 : x
  2. Step 2: Convert to fraction form
    16,234.30/22,377.09 = 16,234.30/x
  3. Step 3: Cross multiply
    16,234.30x = 22,377.09 × 16,234.30
  4. Step 4: Simplify right side
    16,234.30x = 363,276,392.19
  5. Step 5: Solve for x
    x = 363,276,392.19/16,234.30
  6. Step 6: Final answer
    x = 22,377.09

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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.