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Finding the Fourth Proportional to 13,540.57, 20,311.27 and 3,680.06

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Solution

The fourth proportional to 13,540.57, 20,311.27 and 3,680.06 is: 5,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.57 : 20,311.27 = 3,680.06 : x
  2. Step 2: Convert to fraction form
    13,540.57/20,311.27 = 3,680.06/x
  3. Step 3: Cross multiply
    13,540.57x = 20,311.27 × 3,680.06
  4. Step 4: Simplify right side
    13,540.57x = 74,746,572.32
  5. Step 5: Solve for x
    x = 74,746,572.32/13,540.57
  6. Step 6: Final answer
    x = 5,520.20

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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.