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Finding the Fourth Proportional to 27,802.13, 38,366.93 and 15,227.15

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Solution

The fourth proportional to 27,802.13, 38,366.93 and 15,227.15 is: 21,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.13 : 38,366.93 = 15,227.15 : x
  2. Step 2: Convert to fraction form
    27,802.13/38,366.93 = 15,227.15/x
  3. Step 3: Cross multiply
    27,802.13x = 38,366.93 × 15,227.15
  4. Step 4: Simplify right side
    27,802.13x = 584,218,844.38
  5. Step 5: Solve for x
    x = 584,218,844.38/27,802.13
  6. Step 6: Final answer
    x = 21,013.46

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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.