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Finding the Fourth Proportional to 20,297.40, 30,459.60 and 7,149.75

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Solution

The fourth proportional to 20,297.40, 30,459.60 and 7,149.75 is: 10,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.40 : 30,459.60 = 7,149.75 : x
  2. Step 2: Convert to fraction form
    20,297.40/30,459.60 = 7,149.75/x
  3. Step 3: Cross multiply
    20,297.40x = 30,459.60 × 7,149.75
  4. Step 4: Simplify right side
    20,297.40x = 217,778,525.10
  5. Step 5: Solve for x
    x = 217,778,525.10/20,297.40
  6. Step 6: Final answer
    x = 10,729.38

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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.