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Finding the Fourth Proportional to 27,724.84, 38,264.60 and 17,657.62

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Solution

The fourth proportional to 27,724.84, 38,264.60 and 17,657.62 is: 24,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.84 : 38,264.60 = 17,657.62 : x
  2. Step 2: Convert to fraction form
    27,724.84/38,264.60 = 17,657.62/x
  3. Step 3: Cross multiply
    27,724.84x = 38,264.60 × 17,657.62
  4. Step 4: Simplify right side
    27,724.84x = 675,661,766.25
  5. Step 5: Solve for x
    x = 675,661,766.25/27,724.84
  6. Step 6: Final answer
    x = 24,370.27

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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.