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Finding the Fourth Proportional to 12,940.13, 19,392.31 and 5,902.99

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Solution

The fourth proportional to 12,940.13, 19,392.31 and 5,902.99 is: 8,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.13 : 19,392.31 = 5,902.99 : x
  2. Step 2: Convert to fraction form
    12,940.13/19,392.31 = 5,902.99/x
  3. Step 3: Cross multiply
    12,940.13x = 19,392.31 × 5,902.99
  4. Step 4: Simplify right side
    12,940.13x = 114,472,500.29
  5. Step 5: Solve for x
    x = 114,472,500.29/12,940.13
  6. Step 6: Final answer
    x = 8,846.32

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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.