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Finding the Fourth Proportional to 15,257.14, 22,924.05 and 9,712.96

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Solution

The fourth proportional to 15,257.14, 22,924.05 and 9,712.96 is: 14,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.14 : 22,924.05 = 9,712.96 : x
  2. Step 2: Convert to fraction form
    15,257.14/22,924.05 = 9,712.96/x
  3. Step 3: Cross multiply
    15,257.14x = 22,924.05 × 9,712.96
  4. Step 4: Simplify right side
    15,257.14x = 222,660,380.69
  5. Step 5: Solve for x
    x = 222,660,380.69/15,257.14
  6. Step 6: Final answer
    x = 14,593.85

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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.