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Finding the Fourth Proportional to 13,715.17, 20,572.67 and 3,854.39

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Solution

The fourth proportional to 13,715.17, 20,572.67 and 3,854.39 is: 5,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.17 : 20,572.67 = 3,854.39 : x
  2. Step 2: Convert to fraction form
    13,715.17/20,572.67 = 3,854.39/x
  3. Step 3: Cross multiply
    13,715.17x = 20,572.67 × 3,854.39
  4. Step 4: Simplify right side
    13,715.17x = 79,295,000.29
  5. Step 5: Solve for x
    x = 79,295,000.29/13,715.17
  6. Step 6: Final answer
    x = 5,781.56

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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.