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Finding the Fourth Proportional to 21,317.70, 31,958.32 and 8,179.50

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Solution

The fourth proportional to 21,317.70, 31,958.32 and 8,179.50 is: 12,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317.70 : 31,958.32 = 8,179.50 : x
  2. Step 2: Convert to fraction form
    21,317.70/31,958.32 = 8,179.50/x
  3. Step 3: Cross multiply
    21,317.70x = 31,958.32 × 8,179.50
  4. Step 4: Simplify right side
    21,317.70x = 261,403,037.54
  5. Step 5: Solve for x
    x = 261,403,037.54/21,317.70
  6. Step 6: Final answer
    x = 12,262.25

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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.