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Finding the Fourth Proportional to 13,489.74, 18,624.51 and 8,711.83

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Solution

The fourth proportional to 13,489.74, 18,624.51 and 8,711.83 is: 12,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.74 : 18,624.51 = 8,711.83 : x
  2. Step 2: Convert to fraction form
    13,489.74/18,624.51 = 8,711.83/x
  3. Step 3: Cross multiply
    13,489.74x = 18,624.51 × 8,711.83
  4. Step 4: Simplify right side
    13,489.74x = 162,253,511.35
  5. Step 5: Solve for x
    x = 162,253,511.35/13,489.74
  6. Step 6: Final answer
    x = 12,027.92

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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.