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Finding the Fourth Proportional to 12,644.16, 18,964.08 and 3,408

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Solution

The fourth proportional to 12,644.16, 18,964.08 and 3,408 is: 5,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.16 : 18,964.08 = 3,408 : x
  2. Step 2: Convert to fraction form
    12,644.16/18,964.08 = 3,408/x
  3. Step 3: Cross multiply
    12,644.16x = 18,964.08 × 3,408
  4. Step 4: Simplify right side
    12,644.16x = 64,629,584.64
  5. Step 5: Solve for x
    x = 64,629,584.64/12,644.16
  6. Step 6: Final answer
    x = 5,111.42

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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.