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Finding the Fourth Proportional to 22,478.58, 33,722.22 and 8,626.50

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Solution

The fourth proportional to 22,478.58, 33,722.22 and 8,626.50 is: 12,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.58 : 33,722.22 = 8,626.50 : x
  2. Step 2: Convert to fraction form
    22,478.58/33,722.22 = 8,626.50/x
  3. Step 3: Cross multiply
    22,478.58x = 33,722.22 × 8,626.50
  4. Step 4: Simplify right side
    22,478.58x = 290,904,730.83
  5. Step 5: Solve for x
    x = 290,904,730.83/22,478.58
  6. Step 6: Final answer
    x = 12,941.42

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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.