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Finding the Fourth Proportional to 12,118, 18,167.16 and 5,197.36

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Solution

The fourth proportional to 12,118, 18,167.16 and 5,197.36 is: 7,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118 : 18,167.16 = 5,197.36 : x
  2. Step 2: Convert to fraction form
    12,118/18,167.16 = 5,197.36/x
  3. Step 3: Cross multiply
    12,118x = 18,167.16 × 5,197.36
  4. Step 4: Simplify right side
    12,118x = 94,421,270.70
  5. Step 5: Solve for x
    x = 94,421,270.70/12,118
  6. Step 6: Final answer
    x = 7,791.82

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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.