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Finding the Fourth Proportional to 13,543.67, 20,318.78 and 4,659.12

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Solution

The fourth proportional to 13,543.67, 20,318.78 and 4,659.12 is: 6,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.67 : 20,318.78 = 4,659.12 : x
  2. Step 2: Convert to fraction form
    13,543.67/20,318.78 = 4,659.12/x
  3. Step 3: Cross multiply
    13,543.67x = 20,318.78 × 4,659.12
  4. Step 4: Simplify right side
    13,543.67x = 94,667,645.92
  5. Step 5: Solve for x
    x = 94,667,645.92/13,543.67
  6. Step 6: Final answer
    x = 6,989.81

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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.