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Finding the Fourth Proportional to 22,475.22, 33,693.39 and 8,614.50

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Solution

The fourth proportional to 22,475.22, 33,693.39 and 8,614.50 is: 12,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.22 : 33,693.39 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    22,475.22/33,693.39 = 8,614.50/x
  3. Step 3: Cross multiply
    22,475.22x = 33,693.39 × 8,614.50
  4. Step 4: Simplify right side
    22,475.22x = 290,251,708.16
  5. Step 5: Solve for x
    x = 290,251,708.16/22,475.22
  6. Step 6: Final answer
    x = 12,914.30

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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.