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Finding the Fourth Proportional to 12,523.68, 18,786.09 and 6,972.84

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Solution

The fourth proportional to 12,523.68, 18,786.09 and 6,972.84 is: 10,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.68 : 18,786.09 = 6,972.84 : x
  2. Step 2: Convert to fraction form
    12,523.68/18,786.09 = 6,972.84/x
  3. Step 3: Cross multiply
    12,523.68x = 18,786.09 × 6,972.84
  4. Step 4: Simplify right side
    12,523.68x = 130,992,478.78
  5. Step 5: Solve for x
    x = 130,992,478.78/12,523.68
  6. Step 6: Final answer
    x = 10,459.58

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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.