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Finding the Fourth Proportional to 13,917.46, 19,209.72 and 8,609.18

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Solution

The fourth proportional to 13,917.46, 19,209.72 and 8,609.18 is: 11,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.46 : 19,209.72 = 8,609.18 : x
  2. Step 2: Convert to fraction form
    13,917.46/19,209.72 = 8,609.18/x
  3. Step 3: Cross multiply
    13,917.46x = 19,209.72 × 8,609.18
  4. Step 4: Simplify right side
    13,917.46x = 165,379,937.23
  5. Step 5: Solve for x
    x = 165,379,937.23/13,917.46
  6. Step 6: Final answer
    x = 11,882.91

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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.