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Finding the Fourth Proportional to 13,686.67, 20,517.45 and 8,999.20

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Solution

The fourth proportional to 13,686.67, 20,517.45 and 8,999.20 is: 13,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.67 : 20,517.45 = 8,999.20 : x
  2. Step 2: Convert to fraction form
    13,686.67/20,517.45 = 8,999.20/x
  3. Step 3: Cross multiply
    13,686.67x = 20,517.45 × 8,999.20
  4. Step 4: Simplify right side
    13,686.67x = 184,640,636.04
  5. Step 5: Solve for x
    x = 184,640,636.04/13,686.67
  6. Step 6: Final answer
    x = 13,490.54

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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.