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Finding the Fourth Proportional to 22,427.40, 33,641.04 and 12,438.24

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Solution

The fourth proportional to 22,427.40, 33,641.04 and 12,438.24 is: 18,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.40 : 33,641.04 = 12,438.24 : x
  2. Step 2: Convert to fraction form
    22,427.40/33,641.04 = 12,438.24/x
  3. Step 3: Cross multiply
    22,427.40x = 33,641.04 × 12,438.24
  4. Step 4: Simplify right side
    22,427.40x = 418,435,329.37
  5. Step 5: Solve for x
    x = 418,435,329.37/22,427.40
  6. Step 6: Final answer
    x = 18,657.33

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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.