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Finding the Fourth Proportional to 22,177.40, 33,272.48 and 12,824.12

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Solution

The fourth proportional to 22,177.40, 33,272.48 and 12,824.12 is: 19,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.40 : 33,272.48 = 12,824.12 : x
  2. Step 2: Convert to fraction form
    22,177.40/33,272.48 = 12,824.12/x
  3. Step 3: Cross multiply
    22,177.40x = 33,272.48 × 12,824.12
  4. Step 4: Simplify right side
    22,177.40x = 426,690,212.10
  5. Step 5: Solve for x
    x = 426,690,212.10/22,177.40
  6. Step 6: Final answer
    x = 19,239.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.