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Finding the Fourth Proportional to 14,546.88, 20,073.76 and 8,578.24

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Solution

The fourth proportional to 14,546.88, 20,073.76 and 8,578.24 is: 11,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.88 : 20,073.76 = 8,578.24 : x
  2. Step 2: Convert to fraction form
    14,546.88/20,073.76 = 8,578.24/x
  3. Step 3: Cross multiply
    14,546.88x = 20,073.76 × 8,578.24
  4. Step 4: Simplify right side
    14,546.88x = 172,197,530.98
  5. Step 5: Solve for x
    x = 172,197,530.98/14,546.88
  6. Step 6: Final answer
    x = 11,837.42

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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.