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Finding the Fourth Proportional to 25,508.71, 35,200.31 and 14,177.47

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Solution

The fourth proportional to 25,508.71, 35,200.31 and 14,177.47 is: 19,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.71 : 35,200.31 = 14,177.47 : x
  2. Step 2: Convert to fraction form
    25,508.71/35,200.31 = 14,177.47/x
  3. Step 3: Cross multiply
    25,508.71x = 35,200.31 × 14,177.47
  4. Step 4: Simplify right side
    25,508.71x = 499,051,092.13
  5. Step 5: Solve for x
    x = 499,051,092.13/25,508.71
  6. Step 6: Final answer
    x = 19,563.95

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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.