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Finding the Fourth Proportional to 25,567.71, 38,269.68 and 13,691.79

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Solution

The fourth proportional to 25,567.71, 38,269.68 and 13,691.79 is: 20,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,567.71 : 38,269.68 = 13,691.79 : x
  2. Step 2: Convert to fraction form
    25,567.71/38,269.68 = 13,691.79/x
  3. Step 3: Cross multiply
    25,567.71x = 38,269.68 × 13,691.79
  4. Step 4: Simplify right side
    25,567.71x = 523,980,421.93
  5. Step 5: Solve for x
    x = 523,980,421.93/25,567.71
  6. Step 6: Final answer
    x = 20,493.83

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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.