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Finding the Fourth Proportional to 22,591.22, 33,871.71 and 8,724.02

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Solution

The fourth proportional to 22,591.22, 33,871.71 and 8,724.02 is: 13,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.22 : 33,871.71 = 8,724.02 : x
  2. Step 2: Convert to fraction form
    22,591.22/33,871.71 = 8,724.02/x
  3. Step 3: Cross multiply
    22,591.22x = 33,871.71 × 8,724.02
  4. Step 4: Simplify right side
    22,591.22x = 295,497,475.47
  5. Step 5: Solve for x
    x = 295,497,475.47/22,591.22
  6. Step 6: Final answer
    x = 13,080.19

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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.