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Finding the Fourth Proportional to 12,282.84, 18,408.80 and 6,660.30

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Solution

The fourth proportional to 12,282.84, 18,408.80 and 6,660.30 is: 9,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.84 : 18,408.80 = 6,660.30 : x
  2. Step 2: Convert to fraction form
    12,282.84/18,408.80 = 6,660.30/x
  3. Step 3: Cross multiply
    12,282.84x = 18,408.80 × 6,660.30
  4. Step 4: Simplify right side
    12,282.84x = 122,608,130.64
  5. Step 5: Solve for x
    x = 122,608,130.64/12,282.84
  6. Step 6: Final answer
    x = 9,982.07

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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.