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Finding the Fourth Proportional to 12,098.25, 18,149.40 and 3,776.99

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Solution

The fourth proportional to 12,098.25, 18,149.40 and 3,776.99 is: 5,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.25 : 18,149.40 = 3,776.99 : x
  2. Step 2: Convert to fraction form
    12,098.25/18,149.40 = 3,776.99/x
  3. Step 3: Cross multiply
    12,098.25x = 18,149.40 × 3,776.99
  4. Step 4: Simplify right side
    12,098.25x = 68,550,011.56
  5. Step 5: Solve for x
    x = 68,550,011.56/12,098.25
  6. Step 6: Final answer
    x = 5,666.11

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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.