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Finding the Fourth Proportional to 12,099.16, 18,146.98 and 3,777.24

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Solution

The fourth proportional to 12,099.16, 18,146.98 and 3,777.24 is: 5,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.16 : 18,146.98 = 3,777.24 : x
  2. Step 2: Convert to fraction form
    12,099.16/18,146.98 = 3,777.24/x
  3. Step 3: Cross multiply
    12,099.16x = 18,146.98 × 3,777.24
  4. Step 4: Simplify right side
    12,099.16x = 68,545,498.74
  5. Step 5: Solve for x
    x = 68,545,498.74/12,099.16
  6. Step 6: Final answer
    x = 5,665.31

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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.