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Finding the Fourth Proportional to 12,098.90, 18,151.44 and 5,861.90

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Solution

The fourth proportional to 12,098.90, 18,151.44 and 5,861.90 is: 8,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.90 : 18,151.44 = 5,861.90 : x
  2. Step 2: Convert to fraction form
    12,098.90/18,151.44 = 5,861.90/x
  3. Step 3: Cross multiply
    12,098.90x = 18,151.44 × 5,861.90
  4. Step 4: Simplify right side
    12,098.90x = 106,401,926.14
  5. Step 5: Solve for x
    x = 106,401,926.14/12,098.90
  6. Step 6: Final answer
    x = 8,794.35

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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.