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Finding the Fourth Proportional to 13,644.07, 20,464.72 and 8,578.46

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Solution

The fourth proportional to 13,644.07, 20,464.72 and 8,578.46 is: 12,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.07 : 20,464.72 = 8,578.46 : x
  2. Step 2: Convert to fraction form
    13,644.07/20,464.72 = 8,578.46/x
  3. Step 3: Cross multiply
    13,644.07x = 20,464.72 × 8,578.46
  4. Step 4: Simplify right side
    13,644.07x = 175,555,811.65
  5. Step 5: Solve for x
    x = 175,555,811.65/13,644.07
  6. Step 6: Final answer
    x = 12,866.82

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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.