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Finding the Fourth Proportional to 22,424.61, 33,640.56 and 7,632

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Solution

The fourth proportional to 22,424.61, 33,640.56 and 7,632 is: 11,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.61 : 33,640.56 = 7,632 : x
  2. Step 2: Convert to fraction form
    22,424.61/33,640.56 = 7,632/x
  3. Step 3: Cross multiply
    22,424.61x = 33,640.56 × 7,632
  4. Step 4: Simplify right side
    22,424.61x = 256,744,753.92
  5. Step 5: Solve for x
    x = 256,744,753.92/22,424.61
  6. Step 6: Final answer
    x = 11,449.24

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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.