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Finding the Fourth Proportional to 22,821.84, 34,231.32 and 8,032.08

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Solution

The fourth proportional to 22,821.84, 34,231.32 and 8,032.08 is: 12,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.84 : 34,231.32 = 8,032.08 : x
  2. Step 2: Convert to fraction form
    22,821.84/34,231.32 = 8,032.08/x
  3. Step 3: Cross multiply
    22,821.84x = 34,231.32 × 8,032.08
  4. Step 4: Simplify right side
    22,821.84x = 274,948,700.75
  5. Step 5: Solve for x
    x = 274,948,700.75/22,821.84
  6. Step 6: Final answer
    x = 12,047.61

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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.