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Finding the Fourth Proportional to 22,584.75, 31,166.96 and 13,752.75

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Solution

The fourth proportional to 22,584.75, 31,166.96 and 13,752.75 is: 18,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.75 : 31,166.96 = 13,752.75 : x
  2. Step 2: Convert to fraction form
    22,584.75/31,166.96 = 13,752.75/x
  3. Step 3: Cross multiply
    22,584.75x = 31,166.96 × 13,752.75
  4. Step 4: Simplify right side
    22,584.75x = 428,631,340.38
  5. Step 5: Solve for x
    x = 428,631,340.38/22,584.75
  6. Step 6: Final answer
    x = 18,978.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.