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Finding the Fourth Proportional to 11,865.55, 16,376.96 and 9,874.16

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Solution

The fourth proportional to 11,865.55, 16,376.96 and 9,874.16 is: 13,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.55 : 16,376.96 = 9,874.16 : x
  2. Step 2: Convert to fraction form
    11,865.55/16,376.96 = 9,874.16/x
  3. Step 3: Cross multiply
    11,865.55x = 16,376.96 × 9,874.16
  4. Step 4: Simplify right side
    11,865.55x = 161,708,723.35
  5. Step 5: Solve for x
    x = 161,708,723.35/11,865.55
  6. Step 6: Final answer
    x = 13,628.42

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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.