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Finding the Fourth Proportional to 22,306, 33,474.36 and 7,714

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Solution

The fourth proportional to 22,306, 33,474.36 and 7,714 is: 11,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306 : 33,474.36 = 7,714 : x
  2. Step 2: Convert to fraction form
    22,306/33,474.36 = 7,714/x
  3. Step 3: Cross multiply
    22,306x = 33,474.36 × 7,714
  4. Step 4: Simplify right side
    22,306x = 258,221,213.04
  5. Step 5: Solve for x
    x = 258,221,213.04/22,306
  6. Step 6: Final answer
    x = 11,576.31

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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.