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Finding the Fourth Proportional to 27,802.80, 38,367.36 and 15,227.28

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Solution

The fourth proportional to 27,802.80, 38,367.36 and 15,227.28 is: 21,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.80 : 38,367.36 = 15,227.28 : x
  2. Step 2: Convert to fraction form
    27,802.80/38,367.36 = 15,227.28/x
  3. Step 3: Cross multiply
    27,802.80x = 38,367.36 × 15,227.28
  4. Step 4: Simplify right side
    27,802.80x = 584,230,533.58
  5. Step 5: Solve for x
    x = 584,230,533.58/27,802.80
  6. Step 6: Final answer
    x = 21,013.37

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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.