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Finding the Fourth Proportional to 14,552.80, 20,067 and 9,828.88

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Solution

The fourth proportional to 14,552.80, 20,067 and 9,828.88 is: 13,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.80 : 20,067 = 9,828.88 : x
  2. Step 2: Convert to fraction form
    14,552.80/20,067 = 9,828.88/x
  3. Step 3: Cross multiply
    14,552.80x = 20,067 × 9,828.88
  4. Step 4: Simplify right side
    14,552.80x = 197,236,134.96
  5. Step 5: Solve for x
    x = 197,236,134.96/14,552.80
  6. Step 6: Final answer
    x = 13,553.14

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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.