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Finding the Fourth Proportional to 24,194.92, 36,229.02 and 15,848.68

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Solution

The fourth proportional to 24,194.92, 36,229.02 and 15,848.68 is: 23,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.92 : 36,229.02 = 15,848.68 : x
  2. Step 2: Convert to fraction form
    24,194.92/36,229.02 = 15,848.68/x
  3. Step 3: Cross multiply
    24,194.92x = 36,229.02 × 15,848.68
  4. Step 4: Simplify right side
    24,194.92x = 574,182,144.69
  5. Step 5: Solve for x
    x = 574,182,144.69/24,194.92
  6. Step 6: Final answer
    x = 23,731.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.