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Finding the Fourth Proportional to 27,696.24, 38,165.88 and 19,724.40

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Solution

The fourth proportional to 27,696.24, 38,165.88 and 19,724.40 is: 27,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.24 : 38,165.88 = 19,724.40 : x
  2. Step 2: Convert to fraction form
    27,696.24/38,165.88 = 19,724.40/x
  3. Step 3: Cross multiply
    27,696.24x = 38,165.88 × 19,724.40
  4. Step 4: Simplify right side
    27,696.24x = 752,799,083.47
  5. Step 5: Solve for x
    x = 752,799,083.47/27,696.24
  6. Step 6: Final answer
    x = 27,180.55

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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.