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Finding the Fourth Proportional to 22,422.72, 33,638.18 and 9,267.96

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Solution

The fourth proportional to 22,422.72, 33,638.18 and 9,267.96 is: 13,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.72 : 33,638.18 = 9,267.96 : x
  2. Step 2: Convert to fraction form
    22,422.72/33,638.18 = 9,267.96/x
  3. Step 3: Cross multiply
    22,422.72x = 33,638.18 × 9,267.96
  4. Step 4: Simplify right side
    22,422.72x = 311,757,306.71
  5. Step 5: Solve for x
    x = 311,757,306.71/22,422.72
  6. Step 6: Final answer
    x = 13,903.63

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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.