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Finding the Fourth Proportional to 22,432.94, 33,649.55 and 6,850.57

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Solution

The fourth proportional to 22,432.94, 33,649.55 and 6,850.57 is: 10,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.94 : 33,649.55 = 6,850.57 : x
  2. Step 2: Convert to fraction form
    22,432.94/33,649.55 = 6,850.57/x
  3. Step 3: Cross multiply
    22,432.94x = 33,649.55 × 6,850.57
  4. Step 4: Simplify right side
    22,432.94x = 230,518,597.74
  5. Step 5: Solve for x
    x = 230,518,597.74/22,432.94
  6. Step 6: Final answer
    x = 10,275.90

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