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Finding the Fourth Proportional to 16,283.52, 24,428.16 and 5,192.64

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Solution

The fourth proportional to 16,283.52, 24,428.16 and 5,192.64 is: 7,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.52 : 24,428.16 = 5,192.64 : x
  2. Step 2: Convert to fraction form
    16,283.52/24,428.16 = 5,192.64/x
  3. Step 3: Cross multiply
    16,283.52x = 24,428.16 × 5,192.64
  4. Step 4: Simplify right side
    16,283.52x = 126,846,640.74
  5. Step 5: Solve for x
    x = 126,846,640.74/16,283.52
  6. Step 6: Final answer
    x = 7,789.88

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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.