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Finding the Fourth Proportional to 22,432.57, 33,649.12 and 9,608

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Solution

The fourth proportional to 22,432.57, 33,649.12 and 9,608 is: 14,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.57 : 33,649.12 = 9,608 : x
  2. Step 2: Convert to fraction form
    22,432.57/33,649.12 = 9,608/x
  3. Step 3: Cross multiply
    22,432.57x = 33,649.12 × 9,608
  4. Step 4: Simplify right side
    22,432.57x = 323,300,744.96
  5. Step 5: Solve for x
    x = 323,300,744.96/22,432.57
  6. Step 6: Final answer
    x = 14,412.11

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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.