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Finding the Fourth Proportional to 22,111.95, 33,167.95 and 5,471.75

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Solution

The fourth proportional to 22,111.95, 33,167.95 and 5,471.75 is: 8,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111.95 : 33,167.95 = 5,471.75 : x
  2. Step 2: Convert to fraction form
    22,111.95/33,167.95 = 5,471.75/x
  3. Step 3: Cross multiply
    22,111.95x = 33,167.95 × 5,471.75
  4. Step 4: Simplify right side
    22,111.95x = 181,486,799.65
  5. Step 5: Solve for x
    x = 181,486,799.65/22,111.95
  6. Step 6: Final answer
    x = 8,207.63

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Why These Related Problems?

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