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Finding the Fourth Proportional to 27,506.92, 37,959.03 and 16,177.66

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Solution

The fourth proportional to 27,506.92, 37,959.03 and 16,177.66 is: 22,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.92 : 37,959.03 = 16,177.66 : x
  2. Step 2: Convert to fraction form
    27,506.92/37,959.03 = 16,177.66/x
  3. Step 3: Cross multiply
    27,506.92x = 37,959.03 × 16,177.66
  4. Step 4: Simplify right side
    27,506.92x = 614,088,281.27
  5. Step 5: Solve for x
    x = 614,088,281.27/27,506.92
  6. Step 6: Final answer
    x = 22,324.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.