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Finding the Fourth Proportional to 12,405.36, 17,119.44 and 6,816.24

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Solution

The fourth proportional to 12,405.36, 17,119.44 and 6,816.24 is: 9,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.36 : 17,119.44 = 6,816.24 : x
  2. Step 2: Convert to fraction form
    12,405.36/17,119.44 = 6,816.24/x
  3. Step 3: Cross multiply
    12,405.36x = 17,119.44 × 6,816.24
  4. Step 4: Simplify right side
    12,405.36x = 116,690,211.71
  5. Step 5: Solve for x
    x = 116,690,211.71/12,405.36
  6. Step 6: Final answer
    x = 9,406.43

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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.