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Finding the Fourth Proportional to 22,835.47, 34,252.43 and 8,044.00

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Solution

The fourth proportional to 22,835.47, 34,252.43 and 8,044.00 is: 12,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.47 : 34,252.43 = 8,044.00 : x
  2. Step 2: Convert to fraction form
    22,835.47/34,252.43 = 8,044.00/x
  3. Step 3: Cross multiply
    22,835.47x = 34,252.43 × 8,044.00
  4. Step 4: Simplify right side
    22,835.47x = 275,526,609.85
  5. Step 5: Solve for x
    x = 275,526,609.85/22,835.47
  6. Step 6: Final answer
    x = 12,065.73

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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.