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Finding the Fourth Proportional to 20,197.75, 30,296.78 and 7,050.14

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Solution

The fourth proportional to 20,197.75, 30,296.78 and 7,050.14 is: 10,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.75 : 30,296.78 = 7,050.14 : x
  2. Step 2: Convert to fraction form
    20,197.75/30,296.78 = 7,050.14/x
  3. Step 3: Cross multiply
    20,197.75x = 30,296.78 × 7,050.14
  4. Step 4: Simplify right side
    20,197.75x = 213,596,353.81
  5. Step 5: Solve for x
    x = 213,596,353.81/20,197.75
  6. Step 6: Final answer
    x = 10,575.25

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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.