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Finding the Fourth Proportional to 13,709.10, 20,537.19 and 8,166.90

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Solution

The fourth proportional to 13,709.10, 20,537.19 and 8,166.90 is: 12,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.10 : 20,537.19 = 8,166.90 : x
  2. Step 2: Convert to fraction form
    13,709.10/20,537.19 = 8,166.90/x
  3. Step 3: Cross multiply
    13,709.10x = 20,537.19 × 8,166.90
  4. Step 4: Simplify right side
    13,709.10x = 167,725,177.01
  5. Step 5: Solve for x
    x = 167,725,177.01/13,709.10
  6. Step 6: Final answer
    x = 12,234.59

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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.