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Finding the Fourth Proportional to 21,061.20, 31,591.19 and 8,578.14

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Solution

The fourth proportional to 21,061.20, 31,591.19 and 8,578.14 is: 12,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,061.20 : 31,591.19 = 8,578.14 : x
  2. Step 2: Convert to fraction form
    21,061.20/31,591.19 = 8,578.14/x
  3. Step 3: Cross multiply
    21,061.20x = 31,591.19 × 8,578.14
  4. Step 4: Simplify right side
    21,061.20x = 270,993,643.27
  5. Step 5: Solve for x
    x = 270,993,643.27/21,061.20
  6. Step 6: Final answer
    x = 12,866.96

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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.