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Finding the Fourth Proportional to 14,626.58, 20,184.39 and 8,578.31

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Solution

The fourth proportional to 14,626.58, 20,184.39 and 8,578.31 is: 11,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.58 : 20,184.39 = 8,578.31 : x
  2. Step 2: Convert to fraction form
    14,626.58/20,184.39 = 8,578.31/x
  3. Step 3: Cross multiply
    14,626.58x = 20,184.39 × 8,578.31
  4. Step 4: Simplify right side
    14,626.58x = 173,147,853.66
  5. Step 5: Solve for x
    x = 173,147,853.66/14,626.58
  6. Step 6: Final answer
    x = 11,837.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.