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Finding the Fourth Proportional to 12,939.18, 19,403.91 and 10,198.14

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Solution

The fourth proportional to 12,939.18, 19,403.91 and 10,198.14 is: 15,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.18 : 19,403.91 = 10,198.14 : x
  2. Step 2: Convert to fraction form
    12,939.18/19,403.91 = 10,198.14/x
  3. Step 3: Cross multiply
    12,939.18x = 19,403.91 × 10,198.14
  4. Step 4: Simplify right side
    12,939.18x = 197,883,790.73
  5. Step 5: Solve for x
    x = 197,883,790.73/12,939.18
  6. Step 6: Final answer
    x = 15,293.38

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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.