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Finding the Fourth Proportional to 15,733.97, 21,712.42 and 8,660.24

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Solution

The fourth proportional to 15,733.97, 21,712.42 and 8,660.24 is: 11,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.97 : 21,712.42 = 8,660.24 : x
  2. Step 2: Convert to fraction form
    15,733.97/21,712.42 = 8,660.24/x
  3. Step 3: Cross multiply
    15,733.97x = 21,712.42 × 8,660.24
  4. Step 4: Simplify right side
    15,733.97x = 188,034,768.18
  5. Step 5: Solve for x
    x = 188,034,768.18/15,733.97
  6. Step 6: Final answer
    x = 11,950.88

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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.