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Finding the Fourth Proportional to 16,042.29, 24,067.54 and 6,178.92

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Solution

The fourth proportional to 16,042.29, 24,067.54 and 6,178.92 is: 9,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.29 : 24,067.54 = 6,178.92 : x
  2. Step 2: Convert to fraction form
    16,042.29/24,067.54 = 6,178.92/x
  3. Step 3: Cross multiply
    16,042.29x = 24,067.54 × 6,178.92
  4. Step 4: Simplify right side
    16,042.29x = 148,711,502.23
  5. Step 5: Solve for x
    x = 148,711,502.23/16,042.29
  6. Step 6: Final answer
    x = 9,269.97

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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.