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Finding the Fourth Proportional to 20,629.80, 30,944.67 and 7,482.14

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Solution

The fourth proportional to 20,629.80, 30,944.67 and 7,482.14 is: 11,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,629.80 : 30,944.67 = 7,482.14 : x
  2. Step 2: Convert to fraction form
    20,629.80/30,944.67 = 7,482.14/x
  3. Step 3: Cross multiply
    20,629.80x = 30,944.67 × 7,482.14
  4. Step 4: Simplify right side
    20,629.80x = 231,532,353.19
  5. Step 5: Solve for x
    x = 231,532,353.19/20,629.80
  6. Step 6: Final answer
    x = 11,223.20

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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.