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Finding the Fourth Proportional to 15,642.38, 21,586.55 and 8,568.78

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Solution

The fourth proportional to 15,642.38, 21,586.55 and 8,568.78 is: 11,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.38 : 21,586.55 = 8,568.78 : x
  2. Step 2: Convert to fraction form
    15,642.38/21,586.55 = 8,568.78/x
  3. Step 3: Cross multiply
    15,642.38x = 21,586.55 × 8,568.78
  4. Step 4: Simplify right side
    15,642.38x = 184,970,397.91
  5. Step 5: Solve for x
    x = 184,970,397.91/15,642.38
  6. Step 6: Final answer
    x = 11,824.96

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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.