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Finding the Fourth Proportional to 16,226.53, 24,329.94 and 6,353.98

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Solution

The fourth proportional to 16,226.53, 24,329.94 and 6,353.98 is: 9,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.53 : 24,329.94 = 6,353.98 : x
  2. Step 2: Convert to fraction form
    16,226.53/24,329.94 = 6,353.98/x
  3. Step 3: Cross multiply
    16,226.53x = 24,329.94 × 6,353.98
  4. Step 4: Simplify right side
    16,226.53x = 154,591,952.16
  5. Step 5: Solve for x
    x = 154,591,952.16/16,226.53
  6. Step 6: Final answer
    x = 9,527.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.