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Finding the Fourth Proportional to 16,381, 24,571.50 and 5,296.96

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Solution

The fourth proportional to 16,381, 24,571.50 and 5,296.96 is: 7,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381 : 24,571.50 = 5,296.96 : x
  2. Step 2: Convert to fraction form
    16,381/24,571.50 = 5,296.96/x
  3. Step 3: Cross multiply
    16,381x = 24,571.50 × 5,296.96
  4. Step 4: Simplify right side
    16,381x = 130,154,252.64
  5. Step 5: Solve for x
    x = 130,154,252.64/16,381
  6. Step 6: Final answer
    x = 7,945.44

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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.