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Finding the Fourth Proportional to 20,900.44, 31,325.94 and 9,189.16

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Solution

The fourth proportional to 20,900.44, 31,325.94 and 9,189.16 is: 13,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.44 : 31,325.94 = 9,189.16 : x
  2. Step 2: Convert to fraction form
    20,900.44/31,325.94 = 9,189.16/x
  3. Step 3: Cross multiply
    20,900.44x = 31,325.94 × 9,189.16
  4. Step 4: Simplify right side
    20,900.44x = 287,859,074.81
  5. Step 5: Solve for x
    x = 287,859,074.81/20,900.44
  6. Step 6: Final answer
    x = 13,772.87

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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.