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Finding the Fourth Proportional to 22,382.92, 33,575.13 and 6,800.50

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Solution

The fourth proportional to 22,382.92, 33,575.13 and 6,800.50 is: 10,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.92 : 33,575.13 = 6,800.50 : x
  2. Step 2: Convert to fraction form
    22,382.92/33,575.13 = 6,800.50/x
  3. Step 3: Cross multiply
    22,382.92x = 33,575.13 × 6,800.50
  4. Step 4: Simplify right side
    22,382.92x = 228,327,671.57
  5. Step 5: Solve for x
    x = 228,327,671.57/22,382.92
  6. Step 6: Final answer
    x = 10,200.98

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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.