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Finding the Fourth Proportional to 11,844.96, 16,327.80 and 8,856.24

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Solution

The fourth proportional to 11,844.96, 16,327.80 and 8,856.24 is: 12,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.96 : 16,327.80 = 8,856.24 : x
  2. Step 2: Convert to fraction form
    11,844.96/16,327.80 = 8,856.24/x
  3. Step 3: Cross multiply
    11,844.96x = 16,327.80 × 8,856.24
  4. Step 4: Simplify right side
    11,844.96x = 144,602,915.47
  5. Step 5: Solve for x
    x = 144,602,915.47/11,844.96
  6. Step 6: Final answer
    x = 12,207.97

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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.