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Finding the Fourth Proportional to 27,775.97, 38,335.82 and 15,680.13

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Solution

The fourth proportional to 27,775.97, 38,335.82 and 15,680.13 is: 21,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.97 : 38,335.82 = 15,680.13 : x
  2. Step 2: Convert to fraction form
    27,775.97/38,335.82 = 15,680.13/x
  3. Step 3: Cross multiply
    27,775.97x = 38,335.82 × 15,680.13
  4. Step 4: Simplify right side
    27,775.97x = 601,110,794.82
  5. Step 5: Solve for x
    x = 601,110,794.82/27,775.97
  6. Step 6: Final answer
    x = 21,641.40

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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.