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Finding the Fourth Proportional to 16,616.23, 24,933.65 and 8,824.84

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Solution

The fourth proportional to 16,616.23, 24,933.65 and 8,824.84 is: 13,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.23 : 24,933.65 = 8,824.84 : x
  2. Step 2: Convert to fraction form
    16,616.23/24,933.65 = 8,824.84/x
  3. Step 3: Cross multiply
    16,616.23x = 24,933.65 × 8,824.84
  4. Step 4: Simplify right side
    16,616.23x = 220,035,471.87
  5. Step 5: Solve for x
    x = 220,035,471.87/16,616.23
  6. Step 6: Final answer
    x = 13,242.20

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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.