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Finding the Fourth Proportional to 12,644.32, 18,963.92 and 3,408.16

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Solution

The fourth proportional to 12,644.32, 18,963.92 and 3,408.16 is: 5,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.32 : 18,963.92 = 3,408.16 : x
  2. Step 2: Convert to fraction form
    12,644.32/18,963.92 = 3,408.16/x
  3. Step 3: Cross multiply
    12,644.32x = 18,963.92 × 3,408.16
  4. Step 4: Simplify right side
    12,644.32x = 64,632,073.59
  5. Step 5: Solve for x
    x = 64,632,073.59/12,644.32
  6. Step 6: Final answer
    x = 5,111.55

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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.