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Finding the Fourth Proportional to 27,802.29, 38,367.17 and 15,227.04

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Solution

The fourth proportional to 27,802.29, 38,367.17 and 15,227.04 is: 21,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.29 : 38,367.17 = 15,227.04 : x
  2. Step 2: Convert to fraction form
    27,802.29/38,367.17 = 15,227.04/x
  3. Step 3: Cross multiply
    27,802.29x = 38,367.17 × 15,227.04
  4. Step 4: Simplify right side
    27,802.29x = 584,218,432.28
  5. Step 5: Solve for x
    x = 584,218,432.28/27,802.29
  6. Step 6: Final answer
    x = 21,013.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.