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Finding the Fourth Proportional to 27,643.97, 38,154.15 and 17,584.31

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Solution

The fourth proportional to 27,643.97, 38,154.15 and 17,584.31 is: 24,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.97 : 38,154.15 = 17,584.31 : x
  2. Step 2: Convert to fraction form
    27,643.97/38,154.15 = 17,584.31/x
  3. Step 3: Cross multiply
    27,643.97x = 38,154.15 × 17,584.31
  4. Step 4: Simplify right side
    27,643.97x = 670,914,210.62
  5. Step 5: Solve for x
    x = 670,914,210.62/27,643.97
  6. Step 6: Final answer
    x = 24,269.83

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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.