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Finding the Fourth Proportional to 16,310.64, 24,474.33 and 7,990.50

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Solution

The fourth proportional to 16,310.64, 24,474.33 and 7,990.50 is: 11,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.64 : 24,474.33 = 7,990.50 : x
  2. Step 2: Convert to fraction form
    16,310.64/24,474.33 = 7,990.50/x
  3. Step 3: Cross multiply
    16,310.64x = 24,474.33 × 7,990.50
  4. Step 4: Simplify right side
    16,310.64x = 195,562,133.87
  5. Step 5: Solve for x
    x = 195,562,133.87/16,310.64
  6. Step 6: Final answer
    x = 11,989.85

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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.