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Finding the Fourth Proportional to 27,773.38, 41,672.20 and 17,931.88

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Solution

The fourth proportional to 27,773.38, 41,672.20 and 17,931.88 is: 26,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.38 : 41,672.20 = 17,931.88 : x
  2. Step 2: Convert to fraction form
    27,773.38/41,672.20 = 17,931.88/x
  3. Step 3: Cross multiply
    27,773.38x = 41,672.20 × 17,931.88
  4. Step 4: Simplify right side
    27,773.38x = 747,260,889.74
  5. Step 5: Solve for x
    x = 747,260,889.74/27,773.38
  6. Step 6: Final answer
    x = 26,905.65

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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.