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Finding the Fourth Proportional to 16,642.38, 24,951.24 and 7,867.04

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Solution

The fourth proportional to 16,642.38, 24,951.24 and 7,867.04 is: 11,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.38 : 24,951.24 = 7,867.04 : x
  2. Step 2: Convert to fraction form
    16,642.38/24,951.24 = 7,867.04/x
  3. Step 3: Cross multiply
    16,642.38x = 24,951.24 × 7,867.04
  4. Step 4: Simplify right side
    16,642.38x = 196,292,403.13
  5. Step 5: Solve for x
    x = 196,292,403.13/16,642.38
  6. Step 6: Final answer
    x = 11,794.73

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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.