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Finding the Fourth Proportional to 22,381.83, 33,570.01 and 9,232.49

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Solution

The fourth proportional to 22,381.83, 33,570.01 and 9,232.49 is: 13,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.83 : 33,570.01 = 9,232.49 : x
  2. Step 2: Convert to fraction form
    22,381.83/33,570.01 = 9,232.49/x
  3. Step 3: Cross multiply
    22,381.83x = 33,570.01 × 9,232.49
  4. Step 4: Simplify right side
    22,381.83x = 309,934,781.62
  5. Step 5: Solve for x
    x = 309,934,781.62/22,381.83
  6. Step 6: Final answer
    x = 13,847.61

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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.