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Finding the Fourth Proportional to 21,196.05, 31,797.72 and 8,722.86

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Solution

The fourth proportional to 21,196.05, 31,797.72 and 8,722.86 is: 13,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.05 : 31,797.72 = 8,722.86 : x
  2. Step 2: Convert to fraction form
    21,196.05/31,797.72 = 8,722.86/x
  3. Step 3: Cross multiply
    21,196.05x = 31,797.72 × 8,722.86
  4. Step 4: Simplify right side
    21,196.05x = 277,367,059.88
  5. Step 5: Solve for x
    x = 277,367,059.88/21,196.05
  6. Step 6: Final answer
    x = 13,085.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.