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Finding the Fourth Proportional to 11,013.98, 16,500.92 and 9,833.00

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Solution

The fourth proportional to 11,013.98, 16,500.92 and 9,833.00 is: 14,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.98 : 16,500.92 = 9,833.00 : x
  2. Step 2: Convert to fraction form
    11,013.98/16,500.92 = 9,833.00/x
  3. Step 3: Cross multiply
    11,013.98x = 16,500.92 × 9,833.00
  4. Step 4: Simplify right side
    11,013.98x = 162,253,414.69
  5. Step 5: Solve for x
    x = 162,253,414.69/11,013.98
  6. Step 6: Final answer
    x = 14,731.59

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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.