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Finding the Fourth Proportional to 13,442.93, 20,146.88 and 6,863.57

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Solution

The fourth proportional to 13,442.93, 20,146.88 and 6,863.57 is: 10,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.93 : 20,146.88 = 6,863.57 : x
  2. Step 2: Convert to fraction form
    13,442.93/20,146.88 = 6,863.57/x
  3. Step 3: Cross multiply
    13,442.93x = 20,146.88 × 6,863.57
  4. Step 4: Simplify right side
    13,442.93x = 138,279,562.95
  5. Step 5: Solve for x
    x = 138,279,562.95/13,442.93
  6. Step 6: Final answer
    x = 10,286.41

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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.