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Finding the Fourth Proportional to 13,442.07, 20,167.20 and 6,872.87

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Solution

The fourth proportional to 13,442.07, 20,167.20 and 6,872.87 is: 10,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.07 : 20,167.20 = 6,872.87 : x
  2. Step 2: Convert to fraction form
    13,442.07/20,167.20 = 6,872.87/x
  3. Step 3: Cross multiply
    13,442.07x = 20,167.20 × 6,872.87
  4. Step 4: Simplify right side
    13,442.07x = 138,606,543.86
  5. Step 5: Solve for x
    x = 138,606,543.86/13,442.07
  6. Step 6: Final answer
    x = 10,311.40

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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.