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Finding the Fourth Proportional to 20,240.09, 27,930 and 11,164.90

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Solution

The fourth proportional to 20,240.09, 27,930 and 11,164.90 is: 15,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.09 : 27,930 = 11,164.90 : x
  2. Step 2: Convert to fraction form
    20,240.09/27,930 = 11,164.90/x
  3. Step 3: Cross multiply
    20,240.09x = 27,930 × 11,164.90
  4. Step 4: Simplify right side
    20,240.09x = 311,835,657
  5. Step 5: Solve for x
    x = 311,835,657/20,240.09
  6. Step 6: Final answer
    x = 15,406.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.