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Finding the Fourth Proportional to 27,406.46, 41,116.98 and 8,687

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Solution

The fourth proportional to 27,406.46, 41,116.98 and 8,687 is: 13,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.46 : 41,116.98 = 8,687 : x
  2. Step 2: Convert to fraction form
    27,406.46/41,116.98 = 8,687/x
  3. Step 3: Cross multiply
    27,406.46x = 41,116.98 × 8,687
  4. Step 4: Simplify right side
    27,406.46x = 357,183,205.26
  5. Step 5: Solve for x
    x = 357,183,205.26/27,406.46
  6. Step 6: Final answer
    x = 13,032.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.