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Finding the Fourth Proportional to 15,221.56, 22,834.14 and 5,859.40

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Solution

The fourth proportional to 15,221.56, 22,834.14 and 5,859.40 is: 8,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.56 : 22,834.14 = 5,859.40 : x
  2. Step 2: Convert to fraction form
    15,221.56/22,834.14 = 5,859.40/x
  3. Step 3: Cross multiply
    15,221.56x = 22,834.14 × 5,859.40
  4. Step 4: Simplify right side
    15,221.56x = 133,794,359.92
  5. Step 5: Solve for x
    x = 133,794,359.92/15,221.56
  6. Step 6: Final answer
    x = 8,789.79

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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.