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Finding the Fourth Proportional to 12,464.08, 17,223.24 and 11,856.64

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Solution

The fourth proportional to 12,464.08, 17,223.24 and 11,856.64 is: 16,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.08 : 17,223.24 = 11,856.64 : x
  2. Step 2: Convert to fraction form
    12,464.08/17,223.24 = 11,856.64/x
  3. Step 3: Cross multiply
    12,464.08x = 17,223.24 × 11,856.64
  4. Step 4: Simplify right side
    12,464.08x = 204,209,756.31
  5. Step 5: Solve for x
    x = 204,209,756.31/12,464.08
  6. Step 6: Final answer
    x = 16,383.86

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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.