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Finding the Fourth Proportional to 20,463.75, 30,695.50 and 5,266.30

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Solution

The fourth proportional to 20,463.75, 30,695.50 and 5,266.30 is: 7,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.75 : 30,695.50 = 5,266.30 : x
  2. Step 2: Convert to fraction form
    20,463.75/30,695.50 = 5,266.30/x
  3. Step 3: Cross multiply
    20,463.75x = 30,695.50 × 5,266.30
  4. Step 4: Simplify right side
    20,463.75x = 161,651,711.65
  5. Step 5: Solve for x
    x = 161,651,711.65/20,463.75
  6. Step 6: Final answer
    x = 7,899.42

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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.