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Finding the Fourth Proportional to 16,561.72, 22,849.05 and 9,847.63

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Solution

The fourth proportional to 16,561.72, 22,849.05 and 9,847.63 is: 13,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.72 : 22,849.05 = 9,847.63 : x
  2. Step 2: Convert to fraction form
    16,561.72/22,849.05 = 9,847.63/x
  3. Step 3: Cross multiply
    16,561.72x = 22,849.05 × 9,847.63
  4. Step 4: Simplify right side
    16,561.72x = 225,008,990.25
  5. Step 5: Solve for x
    x = 225,008,990.25/16,561.72
  6. Step 6: Final answer
    x = 13,586.09

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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.