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Finding the Fourth Proportional to 12,105, 18,158.19 and 4,313.81

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Solution

The fourth proportional to 12,105, 18,158.19 and 4,313.81 is: 6,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105 : 18,158.19 = 4,313.81 : x
  2. Step 2: Convert to fraction form
    12,105/18,158.19 = 4,313.81/x
  3. Step 3: Cross multiply
    12,105x = 18,158.19 × 4,313.81
  4. Step 4: Simplify right side
    12,105x = 78,331,010.82
  5. Step 5: Solve for x
    x = 78,331,010.82/12,105
  6. Step 6: Final answer
    x = 6,470.96

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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.