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Finding the Fourth Proportional to 27,617.66, 38,103.99 and 15,680.78

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Solution

The fourth proportional to 27,617.66, 38,103.99 and 15,680.78 is: 21,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.66 : 38,103.99 = 15,680.78 : x
  2. Step 2: Convert to fraction form
    27,617.66/38,103.99 = 15,680.78/x
  3. Step 3: Cross multiply
    27,617.66x = 38,103.99 × 15,680.78
  4. Step 4: Simplify right side
    27,617.66x = 597,500,284.31
  5. Step 5: Solve for x
    x = 597,500,284.31/27,617.66
  6. Step 6: Final answer
    x = 21,634.72

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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.