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Finding the Fourth Proportional to 16,309.12, 24,481.92 and 15,238.48

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Solution

The fourth proportional to 16,309.12, 24,481.92 and 15,238.48 is: 22,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.12 : 24,481.92 = 15,238.48 : x
  2. Step 2: Convert to fraction form
    16,309.12/24,481.92 = 15,238.48/x
  3. Step 3: Cross multiply
    16,309.12x = 24,481.92 × 15,238.48
  4. Step 4: Simplify right side
    16,309.12x = 373,067,248.28
  5. Step 5: Solve for x
    x = 373,067,248.28/16,309.12
  6. Step 6: Final answer
    x = 22,874.76

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