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Finding the Fourth Proportional to 12,419.12, 18,628.99 and 4,099.87

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Solution

The fourth proportional to 12,419.12, 18,628.99 and 4,099.87 is: 6,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.12 : 18,628.99 = 4,099.87 : x
  2. Step 2: Convert to fraction form
    12,419.12/18,628.99 = 4,099.87/x
  3. Step 3: Cross multiply
    12,419.12x = 18,628.99 × 4,099.87
  4. Step 4: Simplify right side
    12,419.12x = 76,376,345.48
  5. Step 5: Solve for x
    x = 76,376,345.48/12,419.12
  6. Step 6: Final answer
    x = 6,149.90

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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.