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Finding the Fourth Proportional to 12,103.98, 18,148.38 and 3,781.62

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Solution

The fourth proportional to 12,103.98, 18,148.38 and 3,781.62 is: 5,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.98 : 18,148.38 = 3,781.62 : x
  2. Step 2: Convert to fraction form
    12,103.98/18,148.38 = 3,781.62/x
  3. Step 3: Cross multiply
    12,103.98x = 18,148.38 × 3,781.62
  4. Step 4: Simplify right side
    12,103.98x = 68,630,276.78
  5. Step 5: Solve for x
    x = 68,630,276.78/12,103.98
  6. Step 6: Final answer
    x = 5,670.06

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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.