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Finding the Fourth Proportional to 13,442.54, 20,141.22 and 6,770.16

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Solution

The fourth proportional to 13,442.54, 20,141.22 and 6,770.16 is: 10,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.54 : 20,141.22 = 6,770.16 : x
  2. Step 2: Convert to fraction form
    13,442.54/20,141.22 = 6,770.16/x
  3. Step 3: Cross multiply
    13,442.54x = 20,141.22 × 6,770.16
  4. Step 4: Simplify right side
    13,442.54x = 136,359,282.00
  5. Step 5: Solve for x
    x = 136,359,282.00/13,442.54
  6. Step 6: Final answer
    x = 10,143.86

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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.