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Finding the Fourth Proportional to 20,097.44, 30,146.38 and 9,568.44

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Solution

The fourth proportional to 20,097.44, 30,146.38 and 9,568.44 is: 14,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.44 : 30,146.38 = 9,568.44 : x
  2. Step 2: Convert to fraction form
    20,097.44/30,146.38 = 9,568.44/x
  3. Step 3: Cross multiply
    20,097.44x = 30,146.38 × 9,568.44
  4. Step 4: Simplify right side
    20,097.44x = 288,453,828.25
  5. Step 5: Solve for x
    x = 288,453,828.25/20,097.44
  6. Step 6: Final answer
    x = 14,352.76

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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.