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Finding the Fourth Proportional to 22,382.56, 33,574.23 and 7,591.86

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Solution

The fourth proportional to 22,382.56, 33,574.23 and 7,591.86 is: 11,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.56 : 33,574.23 = 7,591.86 : x
  2. Step 2: Convert to fraction form
    22,382.56/33,574.23 = 7,591.86/x
  3. Step 3: Cross multiply
    22,382.56x = 33,574.23 × 7,591.86
  4. Step 4: Simplify right side
    22,382.56x = 254,890,839.53
  5. Step 5: Solve for x
    x = 254,890,839.53/22,382.56
  6. Step 6: Final answer
    x = 11,387.92

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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.