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Finding the Fourth Proportional to 12,616.40, 18,924.52 and 3,851.28

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Solution

The fourth proportional to 12,616.40, 18,924.52 and 3,851.28 is: 5,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.40 : 18,924.52 = 3,851.28 : x
  2. Step 2: Convert to fraction form
    12,616.40/18,924.52 = 3,851.28/x
  3. Step 3: Cross multiply
    12,616.40x = 18,924.52 × 3,851.28
  4. Step 4: Simplify right side
    12,616.40x = 72,883,625.39
  5. Step 5: Solve for x
    x = 72,883,625.39/12,616.40
  6. Step 6: Final answer
    x = 5,776.90

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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.