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Finding the Fourth Proportional to 12,786.30, 19,154.34 and 11,393.10

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Solution

The fourth proportional to 12,786.30, 19,154.34 and 11,393.10 is: 17,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.30 : 19,154.34 = 11,393.10 : x
  2. Step 2: Convert to fraction form
    12,786.30/19,154.34 = 11,393.10/x
  3. Step 3: Cross multiply
    12,786.30x = 19,154.34 × 11,393.10
  4. Step 4: Simplify right side
    12,786.30x = 218,227,311.05
  5. Step 5: Solve for x
    x = 218,227,311.05/12,786.30
  6. Step 6: Final answer
    x = 17,067.28

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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.