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Finding the Fourth Proportional to 19,794.14, 29,694.52 and 7,314.20

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Solution

The fourth proportional to 19,794.14, 29,694.52 and 7,314.20 is: 10,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.14 : 29,694.52 = 7,314.20 : x
  2. Step 2: Convert to fraction form
    19,794.14/29,694.52 = 7,314.20/x
  3. Step 3: Cross multiply
    19,794.14x = 29,694.52 × 7,314.20
  4. Step 4: Simplify right side
    19,794.14x = 217,191,658.18
  5. Step 5: Solve for x
    x = 217,191,658.18/19,794.14
  6. Step 6: Final answer
    x = 10,972.52

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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.