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Finding the Fourth Proportional to 12,099, 18,138.69 and 4,303.56

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Solution

The fourth proportional to 12,099, 18,138.69 and 4,303.56 is: 6,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 18,138.69 = 4,303.56 : x
  2. Step 2: Convert to fraction form
    12,099/18,138.69 = 4,303.56/x
  3. Step 3: Cross multiply
    12,099x = 18,138.69 × 4,303.56
  4. Step 4: Simplify right side
    12,099x = 78,060,940.74
  5. Step 5: Solve for x
    x = 78,060,940.74/12,099
  6. Step 6: Final answer
    x = 6,451.85

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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.