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Finding the Fourth Proportional to 21,269.99, 31,912.14 and 9,422.12

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Solution

The fourth proportional to 21,269.99, 31,912.14 and 9,422.12 is: 14,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.99 : 31,912.14 = 9,422.12 : x
  2. Step 2: Convert to fraction form
    21,269.99/31,912.14 = 9,422.12/x
  3. Step 3: Cross multiply
    21,269.99x = 31,912.14 × 9,422.12
  4. Step 4: Simplify right side
    21,269.99x = 300,680,012.54
  5. Step 5: Solve for x
    x = 300,680,012.54/21,269.99
  6. Step 6: Final answer
    x = 14,136.35

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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.