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Finding the Fourth Proportional to 12,292.97, 18,439.46 and 5,268.42

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Solution

The fourth proportional to 12,292.97, 18,439.46 and 5,268.42 is: 7,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.97 : 18,439.46 = 5,268.42 : x
  2. Step 2: Convert to fraction form
    12,292.97/18,439.46 = 5,268.42/x
  3. Step 3: Cross multiply
    12,292.97x = 18,439.46 × 5,268.42
  4. Step 4: Simplify right side
    12,292.97x = 97,146,793.51
  5. Step 5: Solve for x
    x = 97,146,793.51/12,292.97
  6. Step 6: Final answer
    x = 7,902.63

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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.