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Finding the Fourth Proportional to 22,452, 33,679.36 and 6,869.76

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Solution

The fourth proportional to 22,452, 33,679.36 and 6,869.76 is: 10,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 33,679.36 = 6,869.76 : x
  2. Step 2: Convert to fraction form
    22,452/33,679.36 = 6,869.76/x
  3. Step 3: Cross multiply
    22,452x = 33,679.36 × 6,869.76
  4. Step 4: Simplify right side
    22,452x = 231,369,120.15
  5. Step 5: Solve for x
    x = 231,369,120.15/22,452
  6. Step 6: Final answer
    x = 10,305.06

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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.