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Finding the Fourth Proportional to 22,642.04, 33,954.66 and 7,847

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Solution

The fourth proportional to 22,642.04, 33,954.66 and 7,847 is: 11,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.04 : 33,954.66 = 7,847 : x
  2. Step 2: Convert to fraction form
    22,642.04/33,954.66 = 7,847/x
  3. Step 3: Cross multiply
    22,642.04x = 33,954.66 × 7,847
  4. Step 4: Simplify right side
    22,642.04x = 266,442,217.02
  5. Step 5: Solve for x
    x = 266,442,217.02/22,642.04
  6. Step 6: Final answer
    x = 11,767.59

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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.