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Finding the Fourth Proportional to 22,432.96, 33,649.98 and 10,733.32

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Solution

The fourth proportional to 22,432.96, 33,649.98 and 10,733.32 is: 16,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.96 : 33,649.98 = 10,733.32 : x
  2. Step 2: Convert to fraction form
    22,432.96/33,649.98 = 10,733.32/x
  3. Step 3: Cross multiply
    22,432.96x = 33,649.98 × 10,733.32
  4. Step 4: Simplify right side
    22,432.96x = 361,176,003.33
  5. Step 5: Solve for x
    x = 361,176,003.33/22,432.96
  6. Step 6: Final answer
    x = 16,100.24

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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.