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Finding the Fourth Proportional to 22,295.50, 33,443.96 and 8,259.06

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Solution

The fourth proportional to 22,295.50, 33,443.96 and 8,259.06 is: 12,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.50 : 33,443.96 = 8,259.06 : x
  2. Step 2: Convert to fraction form
    22,295.50/33,443.96 = 8,259.06/x
  3. Step 3: Cross multiply
    22,295.50x = 33,443.96 × 8,259.06
  4. Step 4: Simplify right side
    22,295.50x = 276,215,672.28
  5. Step 5: Solve for x
    x = 276,215,672.28/22,295.50
  6. Step 6: Final answer
    x = 12,388.85

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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.