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Finding the Fourth Proportional to 19,866.77, 29,796.05 and 9,861.24

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Solution

The fourth proportional to 19,866.77, 29,796.05 and 9,861.24 is: 14,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.77 : 29,796.05 = 9,861.24 : x
  2. Step 2: Convert to fraction form
    19,866.77/29,796.05 = 9,861.24/x
  3. Step 3: Cross multiply
    19,866.77x = 29,796.05 × 9,861.24
  4. Step 4: Simplify right side
    19,866.77x = 293,826,136.49
  5. Step 5: Solve for x
    x = 293,826,136.49/19,866.77
  6. Step 6: Final answer
    x = 14,789.83

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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.