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Finding the Fourth Proportional to 11,739.14, 17,608.78 and 2,974.08

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Solution

The fourth proportional to 11,739.14, 17,608.78 and 2,974.08 is: 4,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.14 : 17,608.78 = 2,974.08 : x
  2. Step 2: Convert to fraction form
    11,739.14/17,608.78 = 2,974.08/x
  3. Step 3: Cross multiply
    11,739.14x = 17,608.78 × 2,974.08
  4. Step 4: Simplify right side
    11,739.14x = 52,369,920.42
  5. Step 5: Solve for x
    x = 52,369,920.42/11,739.14
  6. Step 6: Final answer
    x = 4,461.14

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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.