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Finding the Fourth Proportional to 12,107.10, 18,167.10 and 4,711.80

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Solution

The fourth proportional to 12,107.10, 18,167.10 and 4,711.80 is: 7,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.10 : 18,167.10 = 4,711.80 : x
  2. Step 2: Convert to fraction form
    12,107.10/18,167.10 = 4,711.80/x
  3. Step 3: Cross multiply
    12,107.10x = 18,167.10 × 4,711.80
  4. Step 4: Simplify right side
    12,107.10x = 85,599,741.78
  5. Step 5: Solve for x
    x = 85,599,741.78/12,107.10
  6. Step 6: Final answer
    x = 7,070.21

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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.