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Finding the Fourth Proportional to 16,318.50, 24,474.33 and 7,990.13

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Solution

The fourth proportional to 16,318.50, 24,474.33 and 7,990.13 is: 11,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.50 : 24,474.33 = 7,990.13 : x
  2. Step 2: Convert to fraction form
    16,318.50/24,474.33 = 7,990.13/x
  3. Step 3: Cross multiply
    16,318.50x = 24,474.33 × 7,990.13
  4. Step 4: Simplify right side
    16,318.50x = 195,552,955.99
  5. Step 5: Solve for x
    x = 195,552,955.99/16,318.50
  6. Step 6: Final answer
    x = 11,983.51

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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.