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Finding the Fourth Proportional to 21,267.50, 31,906.02 and 6,477.59

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Solution

The fourth proportional to 21,267.50, 31,906.02 and 6,477.59 is: 9,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.50 : 31,906.02 = 6,477.59 : x
  2. Step 2: Convert to fraction form
    21,267.50/31,906.02 = 6,477.59/x
  3. Step 3: Cross multiply
    21,267.50x = 31,906.02 × 6,477.59
  4. Step 4: Simplify right side
    21,267.50x = 206,673,956.56
  5. Step 5: Solve for x
    x = 206,673,956.56/21,267.50
  6. Step 6: Final answer
    x = 9,717.83

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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.