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Finding the Fourth Proportional to 20,187.60, 30,299.40 and 11,857.20

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Solution

The fourth proportional to 20,187.60, 30,299.40 and 11,857.20 is: 17,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.60 : 30,299.40 = 11,857.20 : x
  2. Step 2: Convert to fraction form
    20,187.60/30,299.40 = 11,857.20/x
  3. Step 3: Cross multiply
    20,187.60x = 30,299.40 × 11,857.20
  4. Step 4: Simplify right side
    20,187.60x = 359,266,045.68
  5. Step 5: Solve for x
    x = 359,266,045.68/20,187.60
  6. Step 6: Final answer
    x = 17,796.37

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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.