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Finding the Fourth Proportional to 27,943.68, 41,924.19 and 9,687.72

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Solution

The fourth proportional to 27,943.68, 41,924.19 and 9,687.72 is: 14,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.68 : 41,924.19 = 9,687.72 : x
  2. Step 2: Convert to fraction form
    27,943.68/41,924.19 = 9,687.72/x
  3. Step 3: Cross multiply
    27,943.68x = 41,924.19 × 9,687.72
  4. Step 4: Simplify right side
    27,943.68x = 406,149,813.95
  5. Step 5: Solve for x
    x = 406,149,813.95/27,943.68
  6. Step 6: Final answer
    x = 14,534.59

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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.