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Finding the Fourth Proportional to 13,902.76, 19,180.92 and 7,930.12

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Solution

The fourth proportional to 13,902.76, 19,180.92 and 7,930.12 is: 10,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.76 : 19,180.92 = 7,930.12 : x
  2. Step 2: Convert to fraction form
    13,902.76/19,180.92 = 7,930.12/x
  3. Step 3: Cross multiply
    13,902.76x = 19,180.92 × 7,930.12
  4. Step 4: Simplify right side
    13,902.76x = 152,106,997.31
  5. Step 5: Solve for x
    x = 152,106,997.31/13,902.76
  6. Step 6: Final answer
    x = 10,940.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.