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Finding the Fourth Proportional to 13,515.86, 20,274.71 and 8,578.71

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Solution

The fourth proportional to 13,515.86, 20,274.71 and 8,578.71 is: 12,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.86 : 20,274.71 = 8,578.71 : x
  2. Step 2: Convert to fraction form
    13,515.86/20,274.71 = 8,578.71/x
  3. Step 3: Cross multiply
    13,515.86x = 20,274.71 × 8,578.71
  4. Step 4: Simplify right side
    13,515.86x = 173,930,814.53
  5. Step 5: Solve for x
    x = 173,930,814.53/13,515.86
  6. Step 6: Final answer
    x = 12,868.64

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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.