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Finding the Fourth Proportional to 20,047.42, 30,074.01 and 6,197.50

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Solution

The fourth proportional to 20,047.42, 30,074.01 and 6,197.50 is: 9,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.42 : 30,074.01 = 6,197.50 : x
  2. Step 2: Convert to fraction form
    20,047.42/30,074.01 = 6,197.50/x
  3. Step 3: Cross multiply
    20,047.42x = 30,074.01 × 6,197.50
  4. Step 4: Simplify right side
    20,047.42x = 186,383,676.98
  5. Step 5: Solve for x
    x = 186,383,676.98/20,047.42
  6. Step 6: Final answer
    x = 9,297.14

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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.