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Finding the Fourth Proportional to 27,724.52, 38,263.74 and 17,649.74

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Solution

The fourth proportional to 27,724.52, 38,263.74 and 17,649.74 is: 24,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.52 : 38,263.74 = 17,649.74 : x
  2. Step 2: Convert to fraction form
    27,724.52/38,263.74 = 17,649.74/x
  3. Step 3: Cross multiply
    27,724.52x = 38,263.74 × 17,649.74
  4. Step 4: Simplify right side
    27,724.52x = 675,345,062.43
  5. Step 5: Solve for x
    x = 675,345,062.43/27,724.52
  6. Step 6: Final answer
    x = 24,359.13

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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.