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Finding the Fourth Proportional to 22,842.56, 34,268.64 and 9,694.64

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Solution

The fourth proportional to 22,842.56, 34,268.64 and 9,694.64 is: 14,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.56 : 34,268.64 = 9,694.64 : x
  2. Step 2: Convert to fraction form
    22,842.56/34,268.64 = 9,694.64/x
  3. Step 3: Cross multiply
    22,842.56x = 34,268.64 × 9,694.64
  4. Step 4: Simplify right side
    22,842.56x = 332,222,128.09
  5. Step 5: Solve for x
    x = 332,222,128.09/22,842.56
  6. Step 6: Final answer
    x = 14,544.00

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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.