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Finding the Fourth Proportional to 22,844.43, 34,267.68 and 8,053.49

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Solution

The fourth proportional to 22,844.43, 34,267.68 and 8,053.49 is: 12,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.43 : 34,267.68 = 8,053.49 : x
  2. Step 2: Convert to fraction form
    22,844.43/34,267.68 = 8,053.49/x
  3. Step 3: Cross multiply
    22,844.43x = 34,267.68 × 8,053.49
  4. Step 4: Simplify right side
    22,844.43x = 275,974,246.86
  5. Step 5: Solve for x
    x = 275,974,246.86/22,844.43
  6. Step 6: Final answer
    x = 12,080.59

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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.