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Finding the Fourth Proportional to 16,589.81, 24,872.36 and 7,228.05

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Solution

The fourth proportional to 16,589.81, 24,872.36 and 7,228.05 is: 10,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.81 : 24,872.36 = 7,228.05 : x
  2. Step 2: Convert to fraction form
    16,589.81/24,872.36 = 7,228.05/x
  3. Step 3: Cross multiply
    16,589.81x = 24,872.36 × 7,228.05
  4. Step 4: Simplify right side
    16,589.81x = 179,778,625.56
  5. Step 5: Solve for x
    x = 179,778,625.56/16,589.81
  6. Step 6: Final answer
    x = 10,836.69

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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.