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Finding the Fourth Proportional to 19,866.80, 27,372.92 and 14,829

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Solution

The fourth proportional to 19,866.80, 27,372.92 and 14,829 is: 20,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.80 : 27,372.92 = 14,829 : x
  2. Step 2: Convert to fraction form
    19,866.80/27,372.92 = 14,829/x
  3. Step 3: Cross multiply
    19,866.80x = 27,372.92 × 14,829
  4. Step 4: Simplify right side
    19,866.80x = 405,912,956.54
  5. Step 5: Solve for x
    x = 405,912,956.54/19,866.80
  6. Step 6: Final answer
    x = 20,431.73

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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.