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Finding the Fourth Proportional to 27,732.78, 38,275.20 and 15,797.22

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Solution

The fourth proportional to 27,732.78, 38,275.20 and 15,797.22 is: 21,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.78 : 38,275.20 = 15,797.22 : x
  2. Step 2: Convert to fraction form
    27,732.78/38,275.20 = 15,797.22/x
  3. Step 3: Cross multiply
    27,732.78x = 38,275.20 × 15,797.22
  4. Step 4: Simplify right side
    27,732.78x = 604,641,754.94
  5. Step 5: Solve for x
    x = 604,641,754.94/27,732.78
  6. Step 6: Final answer
    x = 21,802.42

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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.