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Finding the Fourth Proportional to 22,475.40, 33,704.34 and 8,427.78

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Solution

The fourth proportional to 22,475.40, 33,704.34 and 8,427.78 is: 12,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.40 : 33,704.34 = 8,427.78 : x
  2. Step 2: Convert to fraction form
    22,475.40/33,704.34 = 8,427.78/x
  3. Step 3: Cross multiply
    22,475.40x = 33,704.34 × 8,427.78
  4. Step 4: Simplify right side
    22,475.40x = 284,052,762.57
  5. Step 5: Solve for x
    x = 284,052,762.57/22,475.40
  6. Step 6: Final answer
    x = 12,638.39

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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.