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Finding the Fourth Proportional to 22,902.64, 34,356.60 and 8,112.84

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Solution

The fourth proportional to 22,902.64, 34,356.60 and 8,112.84 is: 12,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.64 : 34,356.60 = 8,112.84 : x
  2. Step 2: Convert to fraction form
    22,902.64/34,356.60 = 8,112.84/x
  3. Step 3: Cross multiply
    22,902.64x = 34,356.60 × 8,112.84
  4. Step 4: Simplify right side
    22,902.64x = 278,729,598.74
  5. Step 5: Solve for x
    x = 278,729,598.74/22,902.64
  6. Step 6: Final answer
    x = 12,170.20

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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.