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Finding the Fourth Proportional to 22,938.20, 34,408.02 and 8,146.88

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Solution

The fourth proportional to 22,938.20, 34,408.02 and 8,146.88 is: 12,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.20 : 34,408.02 = 8,146.88 : x
  2. Step 2: Convert to fraction form
    22,938.20/34,408.02 = 8,146.88/x
  3. Step 3: Cross multiply
    22,938.20x = 34,408.02 × 8,146.88
  4. Step 4: Simplify right side
    22,938.20x = 280,318,009.98
  5. Step 5: Solve for x
    x = 280,318,009.98/22,938.20
  6. Step 6: Final answer
    x = 12,220.58

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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.