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Finding the Fourth Proportional to 13,520.57, 18,659.42 and 9,951.86

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Solution

The fourth proportional to 13,520.57, 18,659.42 and 9,951.86 is: 13,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.57 : 18,659.42 = 9,951.86 : x
  2. Step 2: Convert to fraction form
    13,520.57/18,659.42 = 9,951.86/x
  3. Step 3: Cross multiply
    13,520.57x = 18,659.42 × 9,951.86
  4. Step 4: Simplify right side
    13,520.57x = 185,695,792.46
  5. Step 5: Solve for x
    x = 185,695,792.46/13,520.57
  6. Step 6: Final answer
    x = 13,734.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.