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Finding the Fourth Proportional to 14,739.24, 20,339.92 and 8,115.24

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Solution

The fourth proportional to 14,739.24, 20,339.92 and 8,115.24 is: 11,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739.24 : 20,339.92 = 8,115.24 : x
  2. Step 2: Convert to fraction form
    14,739.24/20,339.92 = 8,115.24/x
  3. Step 3: Cross multiply
    14,739.24x = 20,339.92 × 8,115.24
  4. Step 4: Simplify right side
    14,739.24x = 165,063,332.38
  5. Step 5: Solve for x
    x = 165,063,332.38/14,739.24
  6. Step 6: Final answer
    x = 11,198.90

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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.