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Finding the Fourth Proportional to 20,242.20, 30,372.66 and 7,758.12

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Solution

The fourth proportional to 20,242.20, 30,372.66 and 7,758.12 is: 11,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.20 : 30,372.66 = 7,758.12 : x
  2. Step 2: Convert to fraction form
    20,242.20/30,372.66 = 7,758.12/x
  3. Step 3: Cross multiply
    20,242.20x = 30,372.66 × 7,758.12
  4. Step 4: Simplify right side
    20,242.20x = 235,634,741.00
  5. Step 5: Solve for x
    x = 235,634,741.00/20,242.20
  6. Step 6: Final answer
    x = 11,640.77

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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.