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Finding the Fourth Proportional to 22,965.68, 34,443.96 and 6,321.44

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Solution

The fourth proportional to 22,965.68, 34,443.96 and 6,321.44 is: 9,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.68 : 34,443.96 = 6,321.44 : x
  2. Step 2: Convert to fraction form
    22,965.68/34,443.96 = 6,321.44/x
  3. Step 3: Cross multiply
    22,965.68x = 34,443.96 × 6,321.44
  4. Step 4: Simplify right side
    22,965.68x = 217,735,426.50
  5. Step 5: Solve for x
    x = 217,735,426.50/22,965.68
  6. Step 6: Final answer
    x = 9,480.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.