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Finding the Fourth Proportional to 22,198.46, 33,314.08 and 10,511.66

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Solution

The fourth proportional to 22,198.46, 33,314.08 and 10,511.66 is: 15,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.46 : 33,314.08 = 10,511.66 : x
  2. Step 2: Convert to fraction form
    22,198.46/33,314.08 = 10,511.66/x
  3. Step 3: Cross multiply
    22,198.46x = 33,314.08 × 10,511.66
  4. Step 4: Simplify right side
    22,198.46x = 350,186,282.17
  5. Step 5: Solve for x
    x = 350,186,282.17/22,198.46
  6. Step 6: Final answer
    x = 15,775.25

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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.