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Finding the Fourth Proportional to 21,291.46, 31,937.19 and 8,147.86

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Solution

The fourth proportional to 21,291.46, 31,937.19 and 8,147.86 is: 12,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.46 : 31,937.19 = 8,147.86 : x
  2. Step 2: Convert to fraction form
    21,291.46/31,937.19 = 8,147.86/x
  3. Step 3: Cross multiply
    21,291.46x = 31,937.19 × 8,147.86
  4. Step 4: Simplify right side
    21,291.46x = 260,219,752.91
  5. Step 5: Solve for x
    x = 260,219,752.91/21,291.46
  6. Step 6: Final answer
    x = 12,221.79

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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.