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Finding the Fourth Proportional to 22,135.68, 33,213.42 and 11,745

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Solution

The fourth proportional to 22,135.68, 33,213.42 and 11,745 is: 17,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.68 : 33,213.42 = 11,745 : x
  2. Step 2: Convert to fraction form
    22,135.68/33,213.42 = 11,745/x
  3. Step 3: Cross multiply
    22,135.68x = 33,213.42 × 11,745
  4. Step 4: Simplify right side
    22,135.68x = 390,091,617.90
  5. Step 5: Solve for x
    x = 390,091,617.90/22,135.68
  6. Step 6: Final answer
    x = 17,622.75

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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.