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Finding the Fourth Proportional to 22,314.26, 33,471.61 and 5,674.29

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Solution

The fourth proportional to 22,314.26, 33,471.61 and 5,674.29 is: 8,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.26 : 33,471.61 = 5,674.29 : x
  2. Step 2: Convert to fraction form
    22,314.26/33,471.61 = 5,674.29/x
  3. Step 3: Cross multiply
    22,314.26x = 33,471.61 × 5,674.29
  4. Step 4: Simplify right side
    22,314.26x = 189,927,607.72
  5. Step 5: Solve for x
    x = 189,927,607.72/22,314.26
  6. Step 6: Final answer
    x = 8,511.49

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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.