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Finding the Fourth Proportional to 13,414.20, 20,102.10 and 9,305.40

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Solution

The fourth proportional to 13,414.20, 20,102.10 and 9,305.40 is: 13,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.20 : 20,102.10 = 9,305.40 : x
  2. Step 2: Convert to fraction form
    13,414.20/20,102.10 = 9,305.40/x
  3. Step 3: Cross multiply
    13,414.20x = 20,102.10 × 9,305.40
  4. Step 4: Simplify right side
    13,414.20x = 187,058,081.34
  5. Step 5: Solve for x
    x = 187,058,081.34/13,414.20
  6. Step 6: Final answer
    x = 13,944.78

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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.