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Finding the Fourth Proportional to 22,181.98, 33,278.22 and 7,189.08

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Solution

The fourth proportional to 22,181.98, 33,278.22 and 7,189.08 is: 10,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.98 : 33,278.22 = 7,189.08 : x
  2. Step 2: Convert to fraction form
    22,181.98/33,278.22 = 7,189.08/x
  3. Step 3: Cross multiply
    22,181.98x = 33,278.22 × 7,189.08
  4. Step 4: Simplify right side
    22,181.98x = 239,239,785.84
  5. Step 5: Solve for x
    x = 239,239,785.84/22,181.98
  6. Step 6: Final answer
    x = 10,785.32

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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.