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Finding the Fourth Proportional to 15,715.38, 21,687.54 and 8,642.18

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Solution

The fourth proportional to 15,715.38, 21,687.54 and 8,642.18 is: 11,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.38 : 21,687.54 = 8,642.18 : x
  2. Step 2: Convert to fraction form
    15,715.38/21,687.54 = 8,642.18/x
  3. Step 3: Cross multiply
    15,715.38x = 21,687.54 × 8,642.18
  4. Step 4: Simplify right side
    15,715.38x = 187,427,624.44
  5. Step 5: Solve for x
    x = 187,427,624.44/15,715.38
  6. Step 6: Final answer
    x = 11,926.38

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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.