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Finding the Fourth Proportional to 12,940.18, 19,405.41 and 10,199.14

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Solution

The fourth proportional to 12,940.18, 19,405.41 and 10,199.14 is: 15,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.18 : 19,405.41 = 10,199.14 : x
  2. Step 2: Convert to fraction form
    12,940.18/19,405.41 = 10,199.14/x
  3. Step 3: Cross multiply
    12,940.18x = 19,405.41 × 10,199.14
  4. Step 4: Simplify right side
    12,940.18x = 197,918,493.35
  5. Step 5: Solve for x
    x = 197,918,493.35/12,940.18
  6. Step 6: Final answer
    x = 15,294.88

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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.