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Finding the Fourth Proportional to 12,135.70, 18,167.10 and 7,202.80

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Solution

The fourth proportional to 12,135.70, 18,167.10 and 7,202.80 is: 10,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.70 : 18,167.10 = 7,202.80 : x
  2. Step 2: Convert to fraction form
    12,135.70/18,167.10 = 7,202.80/x
  3. Step 3: Cross multiply
    12,135.70x = 18,167.10 × 7,202.80
  4. Step 4: Simplify right side
    12,135.70x = 130,853,987.88
  5. Step 5: Solve for x
    x = 130,853,987.88/12,135.70
  6. Step 6: Final answer
    x = 10,782.57

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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.