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Finding the Fourth Proportional to 13,442.97, 20,170.08 and 7,201.38

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Solution

The fourth proportional to 13,442.97, 20,170.08 and 7,201.38 is: 10,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.97 : 20,170.08 = 7,201.38 : x
  2. Step 2: Convert to fraction form
    13,442.97/20,170.08 = 7,201.38/x
  3. Step 3: Cross multiply
    13,442.97x = 20,170.08 × 7,201.38
  4. Step 4: Simplify right side
    13,442.97x = 145,252,410.71
  5. Step 5: Solve for x
    x = 145,252,410.71/13,442.97
  6. Step 6: Final answer
    x = 10,805.08

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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.