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Finding the Fourth Proportional to 22,456.98, 33,694.20 and 9,306

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Solution

The fourth proportional to 22,456.98, 33,694.20 and 9,306 is: 13,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.98 : 33,694.20 = 9,306 : x
  2. Step 2: Convert to fraction form
    22,456.98/33,694.20 = 9,306/x
  3. Step 3: Cross multiply
    22,456.98x = 33,694.20 × 9,306
  4. Step 4: Simplify right side
    22,456.98x = 313,558,225.20
  5. Step 5: Solve for x
    x = 313,558,225.20/22,456.98
  6. Step 6: Final answer
    x = 13,962.62

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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.