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Finding the Fourth Proportional to 25,084.69, 34,617.17 and 14,331

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Solution

The fourth proportional to 25,084.69, 34,617.17 and 14,331 is: 19,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.69 : 34,617.17 = 14,331 : x
  2. Step 2: Convert to fraction form
    25,084.69/34,617.17 = 14,331/x
  3. Step 3: Cross multiply
    25,084.69x = 34,617.17 × 14,331
  4. Step 4: Simplify right side
    25,084.69x = 496,098,663.27
  5. Step 5: Solve for x
    x = 496,098,663.27/25,084.69
  6. Step 6: Final answer
    x = 19,776.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.