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Finding the Fourth Proportional to 15,642.59, 21,586.59 and 8,472.39

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Solution

The fourth proportional to 15,642.59, 21,586.59 and 8,472.39 is: 11,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.59 : 21,586.59 = 8,472.39 : x
  2. Step 2: Convert to fraction form
    15,642.59/21,586.59 = 8,472.39/x
  3. Step 3: Cross multiply
    15,642.59x = 21,586.59 × 8,472.39
  4. Step 4: Simplify right side
    15,642.59x = 182,890,009.25
  5. Step 5: Solve for x
    x = 182,890,009.25/15,642.59
  6. Step 6: Final answer
    x = 11,691.80

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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.