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Finding the Fourth Proportional to 12,883.14, 19,327.14 and 5,092.02

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Solution

The fourth proportional to 12,883.14, 19,327.14 and 5,092.02 is: 7,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.14 : 19,327.14 = 5,092.02 : x
  2. Step 2: Convert to fraction form
    12,883.14/19,327.14 = 5,092.02/x
  3. Step 3: Cross multiply
    12,883.14x = 19,327.14 × 5,092.02
  4. Step 4: Simplify right side
    12,883.14x = 98,414,183.42
  5. Step 5: Solve for x
    x = 98,414,183.42/12,883.14
  6. Step 6: Final answer
    x = 7,638.99

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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.