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Finding the Fourth Proportional to 22,784.44, 34,180.08 and 7,990.75

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Solution

The fourth proportional to 22,784.44, 34,180.08 and 7,990.75 is: 11,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.44 : 34,180.08 = 7,990.75 : x
  2. Step 2: Convert to fraction form
    22,784.44/34,180.08 = 7,990.75/x
  3. Step 3: Cross multiply
    22,784.44x = 34,180.08 × 7,990.75
  4. Step 4: Simplify right side
    22,784.44x = 273,124,487.02
  5. Step 5: Solve for x
    x = 273,124,487.02/22,784.44
  6. Step 6: Final answer
    x = 11,987.33

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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.