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Finding the Fourth Proportional to 15,732.56, 21,711.38 and 8,659.44

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Solution

The fourth proportional to 15,732.56, 21,711.38 and 8,659.44 is: 11,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.56 : 21,711.38 = 8,659.44 : x
  2. Step 2: Convert to fraction form
    15,732.56/21,711.38 = 8,659.44/x
  3. Step 3: Cross multiply
    15,732.56x = 21,711.38 × 8,659.44
  4. Step 4: Simplify right side
    15,732.56x = 188,008,349.13
  5. Step 5: Solve for x
    x = 188,008,349.13/15,732.56
  6. Step 6: Final answer
    x = 11,950.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.