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Finding the Fourth Proportional to 12,106.79, 18,161.22 and 3,341.70

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Solution

The fourth proportional to 12,106.79, 18,161.22 and 3,341.70 is: 5,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.79 : 18,161.22 = 3,341.70 : x
  2. Step 2: Convert to fraction form
    12,106.79/18,161.22 = 3,341.70/x
  3. Step 3: Cross multiply
    12,106.79x = 18,161.22 × 3,341.70
  4. Step 4: Simplify right side
    12,106.79x = 60,689,352.01
  5. Step 5: Solve for x
    x = 60,689,352.01/12,106.79
  6. Step 6: Final answer
    x = 5,012.84

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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.