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Finding the Fourth Proportional to 13,545.12, 18,691.20 and 7,576.32

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Solution

The fourth proportional to 13,545.12, 18,691.20 and 7,576.32 is: 10,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.12 : 18,691.20 = 7,576.32 : x
  2. Step 2: Convert to fraction form
    13,545.12/18,691.20 = 7,576.32/x
  3. Step 3: Cross multiply
    13,545.12x = 18,691.20 × 7,576.32
  4. Step 4: Simplify right side
    13,545.12x = 141,610,512.38
  5. Step 5: Solve for x
    x = 141,610,512.38/13,545.12
  6. Step 6: Final answer
    x = 10,454.73

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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.