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Finding the Fourth Proportional to 15,721.38, 21,694.68 and 8,646.44

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Solution

The fourth proportional to 15,721.38, 21,694.68 and 8,646.44 is: 11,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.38 : 21,694.68 = 8,646.44 : x
  2. Step 2: Convert to fraction form
    15,721.38/21,694.68 = 8,646.44/x
  3. Step 3: Cross multiply
    15,721.38x = 21,694.68 × 8,646.44
  4. Step 4: Simplify right side
    15,721.38x = 187,581,640.47
  5. Step 5: Solve for x
    x = 187,581,640.47/15,721.38
  6. Step 6: Final answer
    x = 11,931.63

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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.