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Finding the Fourth Proportional to 16,221.93, 22,386.24 and 9,148.38

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Solution

The fourth proportional to 16,221.93, 22,386.24 and 9,148.38 is: 12,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.93 : 22,386.24 = 9,148.38 : x
  2. Step 2: Convert to fraction form
    16,221.93/22,386.24 = 9,148.38/x
  3. Step 3: Cross multiply
    16,221.93x = 22,386.24 × 9,148.38
  4. Step 4: Simplify right side
    16,221.93x = 204,797,830.29
  5. Step 5: Solve for x
    x = 204,797,830.29/16,221.93
  6. Step 6: Final answer
    x = 12,624.75

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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.