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Finding the Fourth Proportional to 12,731.40, 19,102.83 and 6,881.16

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Solution

The fourth proportional to 12,731.40, 19,102.83 and 6,881.16 is: 10,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.40 : 19,102.83 = 6,881.16 : x
  2. Step 2: Convert to fraction form
    12,731.40/19,102.83 = 6,881.16/x
  3. Step 3: Cross multiply
    12,731.40x = 19,102.83 × 6,881.16
  4. Step 4: Simplify right side
    12,731.40x = 131,449,629.68
  5. Step 5: Solve for x
    x = 131,449,629.68/12,731.40
  6. Step 6: Final answer
    x = 10,324.84

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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.