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Finding the Fourth Proportional to 10,016.57, 15,000.26 and 8,028.23

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Solution

The fourth proportional to 10,016.57, 15,000.26 and 8,028.23 is: 12,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.57 : 15,000.26 = 8,028.23 : x
  2. Step 2: Convert to fraction form
    10,016.57/15,000.26 = 8,028.23/x
  3. Step 3: Cross multiply
    10,016.57x = 15,000.26 × 8,028.23
  4. Step 4: Simplify right side
    10,016.57x = 120,425,422.20
  5. Step 5: Solve for x
    x = 120,425,422.20/10,016.57
  6. Step 6: Final answer
    x = 12,022.62

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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.