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Finding the Fourth Proportional to 12,405.78, 17,119.17 and 6,816.42

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Solution

The fourth proportional to 12,405.78, 17,119.17 and 6,816.42 is: 9,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.78 : 17,119.17 = 6,816.42 : x
  2. Step 2: Convert to fraction form
    12,405.78/17,119.17 = 6,816.42/x
  3. Step 3: Cross multiply
    12,405.78x = 17,119.17 × 6,816.42
  4. Step 4: Simplify right side
    12,405.78x = 116,691,452.77
  5. Step 5: Solve for x
    x = 116,691,452.77/12,405.78
  6. Step 6: Final answer
    x = 9,406.22

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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.