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Finding the Fourth Proportional to 15,882.70, 23,780.28 and 10,625.68

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Solution

The fourth proportional to 15,882.70, 23,780.28 and 10,625.68 is: 15,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.70 : 23,780.28 = 10,625.68 : x
  2. Step 2: Convert to fraction form
    15,882.70/23,780.28 = 10,625.68/x
  3. Step 3: Cross multiply
    15,882.70x = 23,780.28 × 10,625.68
  4. Step 4: Simplify right side
    15,882.70x = 252,681,645.59
  5. Step 5: Solve for x
    x = 252,681,645.59/15,882.70
  6. Step 6: Final answer
    x = 15,909.24

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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.