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Finding the Fourth Proportional to 15,961.92, 22,023.36 and 9,674.16

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Solution

The fourth proportional to 15,961.92, 22,023.36 and 9,674.16 is: 13,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,961.92 : 22,023.36 = 9,674.16 : x
  2. Step 2: Convert to fraction form
    15,961.92/22,023.36 = 9,674.16/x
  3. Step 3: Cross multiply
    15,961.92x = 22,023.36 × 9,674.16
  4. Step 4: Simplify right side
    15,961.92x = 213,057,508.38
  5. Step 5: Solve for x
    x = 213,057,508.38/15,961.92
  6. Step 6: Final answer
    x = 13,347.86

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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.