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Finding the Fourth Proportional to 12,106.80, 18,160.20 and 6,201.90

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Solution

The fourth proportional to 12,106.80, 18,160.20 and 6,201.90 is: 9,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.80 : 18,160.20 = 6,201.90 : x
  2. Step 2: Convert to fraction form
    12,106.80/18,160.20 = 6,201.90/x
  3. Step 3: Cross multiply
    12,106.80x = 18,160.20 × 6,201.90
  4. Step 4: Simplify right side
    12,106.80x = 112,627,744.38
  5. Step 5: Solve for x
    x = 112,627,744.38/12,106.80
  6. Step 6: Final answer
    x = 9,302.85

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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.