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Finding the Fourth Proportional to 27,898.68, 41,844.92 and 8,177.40

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Solution

The fourth proportional to 27,898.68, 41,844.92 and 8,177.40 is: 12,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.68 : 41,844.92 = 8,177.40 : x
  2. Step 2: Convert to fraction form
    27,898.68/41,844.92 = 8,177.40/x
  3. Step 3: Cross multiply
    27,898.68x = 41,844.92 × 8,177.40
  4. Step 4: Simplify right side
    27,898.68x = 342,182,648.81
  5. Step 5: Solve for x
    x = 342,182,648.81/27,898.68
  6. Step 6: Final answer
    x = 12,265.19

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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.