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Finding the Fourth Proportional to 22,697.60, 34,046.46 and 6,902.78

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Solution

The fourth proportional to 22,697.60, 34,046.46 and 6,902.78 is: 10,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.60 : 34,046.46 = 6,902.78 : x
  2. Step 2: Convert to fraction form
    22,697.60/34,046.46 = 6,902.78/x
  3. Step 3: Cross multiply
    22,697.60x = 34,046.46 × 6,902.78
  4. Step 4: Simplify right side
    22,697.60x = 235,015,223.16
  5. Step 5: Solve for x
    x = 235,015,223.16/22,697.60
  6. Step 6: Final answer
    x = 10,354.19

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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.