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Finding the Fourth Proportional to 22,157.46, 33,232.65 and 6,143.22

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Solution

The fourth proportional to 22,157.46, 33,232.65 and 6,143.22 is: 9,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.46 : 33,232.65 = 6,143.22 : x
  2. Step 2: Convert to fraction form
    22,157.46/33,232.65 = 6,143.22/x
  3. Step 3: Cross multiply
    22,157.46x = 33,232.65 × 6,143.22
  4. Step 4: Simplify right side
    22,157.46x = 204,155,480.13
  5. Step 5: Solve for x
    x = 204,155,480.13/22,157.46
  6. Step 6: Final answer
    x = 9,213.85

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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.