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Finding the Fourth Proportional to 22,682.48, 34,023.71 and 7,891.38

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Solution

The fourth proportional to 22,682.48, 34,023.71 and 7,891.38 is: 11,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.48 : 34,023.71 = 7,891.38 : x
  2. Step 2: Convert to fraction form
    22,682.48/34,023.71 = 7,891.38/x
  3. Step 3: Cross multiply
    22,682.48x = 34,023.71 × 7,891.38
  4. Step 4: Simplify right side
    22,682.48x = 268,494,044.35
  5. Step 5: Solve for x
    x = 268,494,044.35/22,682.48
  6. Step 6: Final answer
    x = 11,837.07

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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.