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Finding the Fourth Proportional to 12,022.84, 18,017.88 and 6,760.36

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Solution

The fourth proportional to 12,022.84, 18,017.88 and 6,760.36 is: 10,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.84 : 18,017.88 = 6,760.36 : x
  2. Step 2: Convert to fraction form
    12,022.84/18,017.88 = 6,760.36/x
  3. Step 3: Cross multiply
    12,022.84x = 18,017.88 × 6,760.36
  4. Step 4: Simplify right side
    12,022.84x = 121,807,355.24
  5. Step 5: Solve for x
    x = 121,807,355.24/12,022.84
  6. Step 6: Final answer
    x = 10,131.33

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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.