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Finding the Fourth Proportional to 27,176.20, 40,764.06 and 8,708.20

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Solution

The fourth proportional to 27,176.20, 40,764.06 and 8,708.20 is: 13,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.20 : 40,764.06 = 8,708.20 : x
  2. Step 2: Convert to fraction form
    27,176.20/40,764.06 = 8,708.20/x
  3. Step 3: Cross multiply
    27,176.20x = 40,764.06 × 8,708.20
  4. Step 4: Simplify right side
    27,176.20x = 354,981,587.29
  5. Step 5: Solve for x
    x = 354,981,587.29/27,176.20
  6. Step 6: Final answer
    x = 13,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.