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Finding the Fourth Proportional to 22,682.84, 34,031.17 and 11,597.31

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Solution

The fourth proportional to 22,682.84, 34,031.17 and 11,597.31 is: 17,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.84 : 34,031.17 = 11,597.31 : x
  2. Step 2: Convert to fraction form
    22,682.84/34,031.17 = 11,597.31/x
  3. Step 3: Cross multiply
    22,682.84x = 34,031.17 × 11,597.31
  4. Step 4: Simplify right side
    22,682.84x = 394,670,042.65
  5. Step 5: Solve for x
    x = 394,670,042.65/22,682.84
  6. Step 6: Final answer
    x = 17,399.50

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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.