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Finding the Fourth Proportional to 22,467, 33,701.31 and 8,425.60

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Solution

The fourth proportional to 22,467, 33,701.31 and 8,425.60 is: 12,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467 : 33,701.31 = 8,425.60 : x
  2. Step 2: Convert to fraction form
    22,467/33,701.31 = 8,425.60/x
  3. Step 3: Cross multiply
    22,467x = 33,701.31 × 8,425.60
  4. Step 4: Simplify right side
    22,467x = 283,953,757.54
  5. Step 5: Solve for x
    x = 283,953,757.54/22,467
  6. Step 6: Final answer
    x = 12,638.70

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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.