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Finding the Fourth Proportional to 22,205.57, 33,314.84 and 7,424.87

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Solution

The fourth proportional to 22,205.57, 33,314.84 and 7,424.87 is: 11,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.57 : 33,314.84 = 7,424.87 : x
  2. Step 2: Convert to fraction form
    22,205.57/33,314.84 = 7,424.87/x
  3. Step 3: Cross multiply
    22,205.57x = 33,314.84 × 7,424.87
  4. Step 4: Simplify right side
    22,205.57x = 247,358,221.98
  5. Step 5: Solve for x
    x = 247,358,221.98/22,205.57
  6. Step 6: Final answer
    x = 11,139.47

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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.