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Finding the Fourth Proportional to 15,882.45, 21,918.38 and 8,711.93

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Solution

The fourth proportional to 15,882.45, 21,918.38 and 8,711.93 is: 12,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.45 : 21,918.38 = 8,711.93 : x
  2. Step 2: Convert to fraction form
    15,882.45/21,918.38 = 8,711.93/x
  3. Step 3: Cross multiply
    15,882.45x = 21,918.38 × 8,711.93
  4. Step 4: Simplify right side
    15,882.45x = 190,951,239.12
  5. Step 5: Solve for x
    x = 190,951,239.12/15,882.45
  6. Step 6: Final answer
    x = 12,022.78

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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.