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Finding the Fourth Proportional to 12,616.36, 18,926.82 and 5,216.80

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Solution

The fourth proportional to 12,616.36, 18,926.82 and 5,216.80 is: 7,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.36 : 18,926.82 = 5,216.80 : x
  2. Step 2: Convert to fraction form
    12,616.36/18,926.82 = 5,216.80/x
  3. Step 3: Cross multiply
    12,616.36x = 18,926.82 × 5,216.80
  4. Step 4: Simplify right side
    12,616.36x = 98,737,434.58
  5. Step 5: Solve for x
    x = 98,737,434.58/12,616.36
  6. Step 6: Final answer
    x = 7,826.14

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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.