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Finding the Fourth Proportional to 13,414.38, 20,150.73 and 9,040.38

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Solution

The fourth proportional to 13,414.38, 20,150.73 and 9,040.38 is: 13,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.38 : 20,150.73 = 9,040.38 : x
  2. Step 2: Convert to fraction form
    13,414.38/20,150.73 = 9,040.38/x
  3. Step 3: Cross multiply
    13,414.38x = 20,150.73 × 9,040.38
  4. Step 4: Simplify right side
    13,414.38x = 182,170,256.48
  5. Step 5: Solve for x
    x = 182,170,256.48/13,414.38
  6. Step 6: Final answer
    x = 13,580.22

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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.