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Finding the Fourth Proportional to 22,175.20, 33,262.80 and 9,863.20

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Solution

The fourth proportional to 22,175.20, 33,262.80 and 9,863.20 is: 14,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.20 : 33,262.80 = 9,863.20 : x
  2. Step 2: Convert to fraction form
    22,175.20/33,262.80 = 9,863.20/x
  3. Step 3: Cross multiply
    22,175.20x = 33,262.80 × 9,863.20
  4. Step 4: Simplify right side
    22,175.20x = 328,077,648.96
  5. Step 5: Solve for x
    x = 328,077,648.96/22,175.20
  6. Step 6: Final answer
    x = 14,794.80

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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.