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Finding the Fourth Proportional to 13,388.64, 20,082.98 and 5,489.70

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Solution

The fourth proportional to 13,388.64, 20,082.98 and 5,489.70 is: 8,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.64 : 20,082.98 = 5,489.70 : x
  2. Step 2: Convert to fraction form
    13,388.64/20,082.98 = 5,489.70/x
  3. Step 3: Cross multiply
    13,388.64x = 20,082.98 × 5,489.70
  4. Step 4: Simplify right side
    13,388.64x = 110,249,473.72
  5. Step 5: Solve for x
    x = 110,249,473.72/13,388.64
  6. Step 6: Final answer
    x = 8,234.56

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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.