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Finding the Fourth Proportional to 27,660.76, 38,171.80 and 15,724.10

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Solution

The fourth proportional to 27,660.76, 38,171.80 and 15,724.10 is: 21,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660.76 : 38,171.80 = 15,724.10 : x
  2. Step 2: Convert to fraction form
    27,660.76/38,171.80 = 15,724.10/x
  3. Step 3: Cross multiply
    27,660.76x = 38,171.80 × 15,724.10
  4. Step 4: Simplify right side
    27,660.76x = 600,217,200.38
  5. Step 5: Solve for x
    x = 600,217,200.38/27,660.76
  6. Step 6: Final answer
    x = 21,699.23

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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.