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Finding the Fourth Proportional to 16,043.92, 24,060.12 and 6,178.24

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Solution

The fourth proportional to 16,043.92, 24,060.12 and 6,178.24 is: 9,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.92 : 24,060.12 = 6,178.24 : x
  2. Step 2: Convert to fraction form
    16,043.92/24,060.12 = 6,178.24/x
  3. Step 3: Cross multiply
    16,043.92x = 24,060.12 × 6,178.24
  4. Step 4: Simplify right side
    16,043.92x = 148,649,195.79
  5. Step 5: Solve for x
    x = 148,649,195.79/16,043.92
  6. Step 6: Final answer
    x = 9,265.14

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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.