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Finding the Fourth Proportional to 13,543.70, 18,701.84 and 8,516.33

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Solution

The fourth proportional to 13,543.70, 18,701.84 and 8,516.33 is: 11,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.70 : 18,701.84 = 8,516.33 : x
  2. Step 2: Convert to fraction form
    13,543.70/18,701.84 = 8,516.33/x
  3. Step 3: Cross multiply
    13,543.70x = 18,701.84 × 8,516.33
  4. Step 4: Simplify right side
    13,543.70x = 159,270,904.96
  5. Step 5: Solve for x
    x = 159,270,904.96/13,543.70
  6. Step 6: Final answer
    x = 11,759.78

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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.