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Finding the Fourth Proportional to 22,349.20, 33,523.86 and 8,312.31

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Solution

The fourth proportional to 22,349.20, 33,523.86 and 8,312.31 is: 12,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.20 : 33,523.86 = 8,312.31 : x
  2. Step 2: Convert to fraction form
    22,349.20/33,523.86 = 8,312.31/x
  3. Step 3: Cross multiply
    22,349.20x = 33,523.86 × 8,312.31
  4. Step 4: Simplify right side
    22,349.20x = 278,660,716.72
  5. Step 5: Solve for x
    x = 278,660,716.72/22,349.20
  6. Step 6: Final answer
    x = 12,468.49

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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.