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Finding the Fourth Proportional to 22,842.12, 34,268.46 and 7,046.76

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Solution

The fourth proportional to 22,842.12, 34,268.46 and 7,046.76 is: 10,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.12 : 34,268.46 = 7,046.76 : x
  2. Step 2: Convert to fraction form
    22,842.12/34,268.46 = 7,046.76/x
  3. Step 3: Cross multiply
    22,842.12x = 34,268.46 × 7,046.76
  4. Step 4: Simplify right side
    22,842.12x = 241,481,613.19
  5. Step 5: Solve for x
    x = 241,481,613.19/22,842.12
  6. Step 6: Final answer
    x = 10,571.77

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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.