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Finding the Fourth Proportional to 13,578.30, 20,371.14 and 12,276.99

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Solution

The fourth proportional to 13,578.30, 20,371.14 and 12,276.99 is: 18,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.30 : 20,371.14 = 12,276.99 : x
  2. Step 2: Convert to fraction form
    13,578.30/20,371.14 = 12,276.99/x
  3. Step 3: Cross multiply
    13,578.30x = 20,371.14 × 12,276.99
  4. Step 4: Simplify right side
    13,578.30x = 250,096,282.07
  5. Step 5: Solve for x
    x = 250,096,282.07/13,578.30
  6. Step 6: Final answer
    x = 18,418.82

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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.