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Finding the Fourth Proportional to 27,614.98, 38,083.53 and 18,046.18

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Solution

The fourth proportional to 27,614.98, 38,083.53 and 18,046.18 is: 24,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.98 : 38,083.53 = 18,046.18 : x
  2. Step 2: Convert to fraction form
    27,614.98/38,083.53 = 18,046.18/x
  3. Step 3: Cross multiply
    27,614.98x = 38,083.53 × 18,046.18
  4. Step 4: Simplify right side
    27,614.98x = 687,262,237.42
  5. Step 5: Solve for x
    x = 687,262,237.42/27,614.98
  6. Step 6: Final answer
    x = 24,887.30

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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.