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Finding the Fourth Proportional to 12,588.26, 18,882.46 and 3,823.26

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Solution

The fourth proportional to 12,588.26, 18,882.46 and 3,823.26 is: 5,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.26 : 18,882.46 = 3,823.26 : x
  2. Step 2: Convert to fraction form
    12,588.26/18,882.46 = 3,823.26/x
  3. Step 3: Cross multiply
    12,588.26x = 18,882.46 × 3,823.26
  4. Step 4: Simplify right side
    12,588.26x = 72,192,554.02
  5. Step 5: Solve for x
    x = 72,192,554.02/12,588.26
  6. Step 6: Final answer
    x = 5,734.91

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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.