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Finding the Fourth Proportional to 22,902.70, 34,343.52 and 8,112.10

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Solution

The fourth proportional to 22,902.70, 34,343.52 and 8,112.10 is: 12,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.70 : 34,343.52 = 8,112.10 : x
  2. Step 2: Convert to fraction form
    22,902.70/34,343.52 = 8,112.10/x
  3. Step 3: Cross multiply
    22,902.70x = 34,343.52 × 8,112.10
  4. Step 4: Simplify right side
    22,902.70x = 278,598,068.59
  5. Step 5: Solve for x
    x = 278,598,068.59/22,902.70
  6. Step 6: Final answer
    x = 12,164.42

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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.