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Finding the Fourth Proportional to 21,162.72, 31,711.20 and 8,007.96

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Solution

The fourth proportional to 21,162.72, 31,711.20 and 8,007.96 is: 11,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.72 : 31,711.20 = 8,007.96 : x
  2. Step 2: Convert to fraction form
    21,162.72/31,711.20 = 8,007.96/x
  3. Step 3: Cross multiply
    21,162.72x = 31,711.20 × 8,007.96
  4. Step 4: Simplify right side
    21,162.72x = 253,942,021.15
  5. Step 5: Solve for x
    x = 253,942,021.15/21,162.72
  6. Step 6: Final answer
    x = 11,999.50

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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.