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Finding the Fourth Proportional to 22,433.10, 33,649.65 and 9,294.90

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Solution

The fourth proportional to 22,433.10, 33,649.65 and 9,294.90 is: 13,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.10 : 33,649.65 = 9,294.90 : x
  2. Step 2: Convert to fraction form
    22,433.10/33,649.65 = 9,294.90/x
  3. Step 3: Cross multiply
    22,433.10x = 33,649.65 × 9,294.90
  4. Step 4: Simplify right side
    22,433.10x = 312,770,131.79
  5. Step 5: Solve for x
    x = 312,770,131.79/22,433.10
  6. Step 6: Final answer
    x = 13,942.35

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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.