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Finding the Fourth Proportional to 13,728.32, 20,597.60 and 5,414.12

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Solution

The fourth proportional to 13,728.32, 20,597.60 and 5,414.12 is: 8,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.32 : 20,597.60 = 5,414.12 : x
  2. Step 2: Convert to fraction form
    13,728.32/20,597.60 = 5,414.12/x
  3. Step 3: Cross multiply
    13,728.32x = 20,597.60 × 5,414.12
  4. Step 4: Simplify right side
    13,728.32x = 111,517,748.05
  5. Step 5: Solve for x
    x = 111,517,748.05/13,728.32
  6. Step 6: Final answer
    x = 8,123.19

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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.