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Finding the Fourth Proportional to 12,106.08, 18,143.19 and 11,316.87

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Solution

The fourth proportional to 12,106.08, 18,143.19 and 11,316.87 is: 16,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.08 : 18,143.19 = 11,316.87 : x
  2. Step 2: Convert to fraction form
    12,106.08/18,143.19 = 11,316.87/x
  3. Step 3: Cross multiply
    12,106.08x = 18,143.19 × 11,316.87
  4. Step 4: Simplify right side
    12,106.08x = 205,324,122.62
  5. Step 5: Solve for x
    x = 205,324,122.62/12,106.08
  6. Step 6: Final answer
    x = 16,960.41

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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.