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Finding the Fourth Proportional to 11,856.96, 16,344.30 and 8,868.24

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Solution

The fourth proportional to 11,856.96, 16,344.30 and 8,868.24 is: 12,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.96 : 16,344.30 = 8,868.24 : x
  2. Step 2: Convert to fraction form
    11,856.96/16,344.30 = 8,868.24/x
  3. Step 3: Cross multiply
    11,856.96x = 16,344.30 × 8,868.24
  4. Step 4: Simplify right side
    11,856.96x = 144,945,175.03
  5. Step 5: Solve for x
    x = 144,945,175.03/11,856.96
  6. Step 6: Final answer
    x = 12,224.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.