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Finding the Fourth Proportional to 27,734, 38,273.04 and 15,158.72

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Solution

The fourth proportional to 27,734, 38,273.04 and 15,158.72 is: 20,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734 : 38,273.04 = 15,158.72 : x
  2. Step 2: Convert to fraction form
    27,734/38,273.04 = 15,158.72/x
  3. Step 3: Cross multiply
    27,734x = 38,273.04 × 15,158.72
  4. Step 4: Simplify right side
    27,734x = 580,170,296.91
  5. Step 5: Solve for x
    x = 580,170,296.91/27,734
  6. Step 6: Final answer
    x = 20,919.10

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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.