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Finding the Fourth Proportional to 22,821.68, 34,234.32 and 8,033.91

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Solution

The fourth proportional to 22,821.68, 34,234.32 and 8,033.91 is: 12,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.68 : 34,234.32 = 8,033.91 : x
  2. Step 2: Convert to fraction form
    22,821.68/34,234.32 = 8,033.91/x
  3. Step 3: Cross multiply
    22,821.68x = 34,234.32 × 8,033.91
  4. Step 4: Simplify right side
    22,821.68x = 275,035,425.71
  5. Step 5: Solve for x
    x = 275,035,425.71/22,821.68
  6. Step 6: Final answer
    x = 12,051.50

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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.