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Finding the Fourth Proportional to 20,718.75, 31,082.67 and 7,570.80

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Solution

The fourth proportional to 20,718.75, 31,082.67 and 7,570.80 is: 11,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718.75 : 31,082.67 = 7,570.80 : x
  2. Step 2: Convert to fraction form
    20,718.75/31,082.67 = 7,570.80/x
  3. Step 3: Cross multiply
    20,718.75x = 31,082.67 × 7,570.80
  4. Step 4: Simplify right side
    20,718.75x = 235,320,678.04
  5. Step 5: Solve for x
    x = 235,320,678.04/20,718.75
  6. Step 6: Final answer
    x = 11,357.86

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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.