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Finding the Fourth Proportional to 27,321.92, 37,710.39 and 17,885

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Solution

The fourth proportional to 27,321.92, 37,710.39 and 17,885 is: 24,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321.92 : 37,710.39 = 17,885 : x
  2. Step 2: Convert to fraction form
    27,321.92/37,710.39 = 17,885/x
  3. Step 3: Cross multiply
    27,321.92x = 37,710.39 × 17,885
  4. Step 4: Simplify right side
    27,321.92x = 674,450,325.15
  5. Step 5: Solve for x
    x = 674,450,325.15/27,321.92
  6. Step 6: Final answer
    x = 24,685.32

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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.