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Finding the Fourth Proportional to 13,686.60, 20,546.87 and 8,991.93

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Solution

The fourth proportional to 13,686.60, 20,546.87 and 8,991.93 is: 13,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.60 : 20,546.87 = 8,991.93 : x
  2. Step 2: Convert to fraction form
    13,686.60/20,546.87 = 8,991.93/x
  3. Step 3: Cross multiply
    13,686.60x = 20,546.87 × 8,991.93
  4. Step 4: Simplify right side
    13,686.60x = 184,755,971.80
  5. Step 5: Solve for x
    x = 184,755,971.80/13,686.60
  6. Step 6: Final answer
    x = 13,499.04

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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.