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Finding the Fourth Proportional to 13,098.69, 18,082.38 and 8,385.72

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Solution

The fourth proportional to 13,098.69, 18,082.38 and 8,385.72 is: 11,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.69 : 18,082.38 = 8,385.72 : x
  2. Step 2: Convert to fraction form
    13,098.69/18,082.38 = 8,385.72/x
  3. Step 3: Cross multiply
    13,098.69x = 18,082.38 × 8,385.72
  4. Step 4: Simplify right side
    13,098.69x = 151,633,775.61
  5. Step 5: Solve for x
    x = 151,633,775.61/13,098.69
  6. Step 6: Final answer
    x = 11,576.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.