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Finding the Fourth Proportional to 20,901.44, 31,327.44 and 9,190.16

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Solution

The fourth proportional to 20,901.44, 31,327.44 and 9,190.16 is: 13,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.44 : 31,327.44 = 9,190.16 : x
  2. Step 2: Convert to fraction form
    20,901.44/31,327.44 = 9,190.16/x
  3. Step 3: Cross multiply
    20,901.44x = 31,327.44 × 9,190.16
  4. Step 4: Simplify right side
    20,901.44x = 287,904,185.99
  5. Step 5: Solve for x
    x = 287,904,185.99/20,901.44
  6. Step 6: Final answer
    x = 13,774.37

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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.