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Finding the Fourth Proportional to 22,781.44, 34,165.12 and 9,633.60

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Solution

The fourth proportional to 22,781.44, 34,165.12 and 9,633.60 is: 14,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.44 : 34,165.12 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    22,781.44/34,165.12 = 9,633.60/x
  3. Step 3: Cross multiply
    22,781.44x = 34,165.12 × 9,633.60
  4. Step 4: Simplify right side
    22,781.44x = 329,133,100.03
  5. Step 5: Solve for x
    x = 329,133,100.03/22,781.44
  6. Step 6: Final answer
    x = 14,447.42

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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.