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Finding the Fourth Proportional to 38,565.90, 57,857.52 and 13,606.15

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Solution

The fourth proportional to 38,565.90, 57,857.52 and 13,606.15 is: 20,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.90 : 57,857.52 = 13,606.15 : x
  2. Step 2: Convert to fraction form
    38,565.90/57,857.52 = 13,606.15/x
  3. Step 3: Cross multiply
    38,565.90x = 57,857.52 × 13,606.15
  4. Step 4: Simplify right side
    38,565.90x = 787,218,158.53
  5. Step 5: Solve for x
    x = 787,218,158.53/38,565.90
  6. Step 6: Final answer
    x = 20,412.29

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