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Finding the Fourth Proportional to 13,841.67, 20,790.46 and 8,305.53

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Solution

The fourth proportional to 13,841.67, 20,790.46 and 8,305.53 is: 12,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.67 : 20,790.46 = 8,305.53 : x
  2. Step 2: Convert to fraction form
    13,841.67/20,790.46 = 8,305.53/x
  3. Step 3: Cross multiply
    13,841.67x = 20,790.46 × 8,305.53
  4. Step 4: Simplify right side
    13,841.67x = 172,675,789.24
  5. Step 5: Solve for x
    x = 172,675,789.24/13,841.67
  6. Step 6: Final answer
    x = 12,475.07

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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.