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Finding the Fourth Proportional to 27,615.48, 38,084.22 and 18,046.68

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Solution

The fourth proportional to 27,615.48, 38,084.22 and 18,046.68 is: 24,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.48 : 38,084.22 = 18,046.68 : x
  2. Step 2: Convert to fraction form
    27,615.48/38,084.22 = 18,046.68/x
  3. Step 3: Cross multiply
    27,615.48x = 38,084.22 × 18,046.68
  4. Step 4: Simplify right side
    27,615.48x = 687,293,731.39
  5. Step 5: Solve for x
    x = 687,293,731.39/27,615.48
  6. Step 6: Final answer
    x = 24,887.99

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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.