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Finding the Fourth Proportional to 16,036.67, 22,130.38 and 9,324.71

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Solution

The fourth proportional to 16,036.67, 22,130.38 and 9,324.71 is: 12,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.67 : 22,130.38 = 9,324.71 : x
  2. Step 2: Convert to fraction form
    16,036.67/22,130.38 = 9,324.71/x
  3. Step 3: Cross multiply
    16,036.67x = 22,130.38 × 9,324.71
  4. Step 4: Simplify right side
    16,036.67x = 206,359,375.69
  5. Step 5: Solve for x
    x = 206,359,375.69/16,036.67
  6. Step 6: Final answer
    x = 12,867.97

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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.