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Finding the Fourth Proportional to 22,536.16, 33,758.92 and 10,511.30

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Solution

The fourth proportional to 22,536.16, 33,758.92 and 10,511.30 is: 15,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.16 : 33,758.92 = 10,511.30 : x
  2. Step 2: Convert to fraction form
    22,536.16/33,758.92 = 10,511.30/x
  3. Step 3: Cross multiply
    22,536.16x = 33,758.92 × 10,511.30
  4. Step 4: Simplify right side
    22,536.16x = 354,850,135.80
  5. Step 5: Solve for x
    x = 354,850,135.80/22,536.16
  6. Step 6: Final answer
    x = 15,745.81

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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.