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Finding the Fourth Proportional to 8,431.56, 12,647.34 and 8,016.84

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Solution

The fourth proportional to 8,431.56, 12,647.34 and 8,016.84 is: 12,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.56 : 12,647.34 = 8,016.84 : x
  2. Step 2: Convert to fraction form
    8,431.56/12,647.34 = 8,016.84/x
  3. Step 3: Cross multiply
    8,431.56x = 12,647.34 × 8,016.84
  4. Step 4: Simplify right side
    8,431.56x = 101,391,701.21
  5. Step 5: Solve for x
    x = 101,391,701.21/8,431.56
  6. Step 6: Final answer
    x = 12,025.26

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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.