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Finding the Fourth Proportional to 25,113.74, 34,657.25 and 15,687.78

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Solution

The fourth proportional to 25,113.74, 34,657.25 and 15,687.78 is: 21,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.74 : 34,657.25 = 15,687.78 : x
  2. Step 2: Convert to fraction form
    25,113.74/34,657.25 = 15,687.78/x
  3. Step 3: Cross multiply
    25,113.74x = 34,657.25 × 15,687.78
  4. Step 4: Simplify right side
    25,113.74x = 543,695,313.41
  5. Step 5: Solve for x
    x = 543,695,313.41/25,113.74
  6. Step 6: Final answer
    x = 21,649.32

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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.