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Finding the Fourth Proportional to 13,442.85, 20,121.12 and 7,187.22

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Solution

The fourth proportional to 13,442.85, 20,121.12 and 7,187.22 is: 10,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.85 : 20,121.12 = 7,187.22 : x
  2. Step 2: Convert to fraction form
    13,442.85/20,121.12 = 7,187.22/x
  3. Step 3: Cross multiply
    13,442.85x = 20,121.12 × 7,187.22
  4. Step 4: Simplify right side
    13,442.85x = 144,614,916.09
  5. Step 5: Solve for x
    x = 144,614,916.09/13,442.85
  6. Step 6: Final answer
    x = 10,757.76

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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.