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Finding the Fourth Proportional to 21,296.46, 31,944.69 and 8,152.86

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Solution

The fourth proportional to 21,296.46, 31,944.69 and 8,152.86 is: 12,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.46 : 31,944.69 = 8,152.86 : x
  2. Step 2: Convert to fraction form
    21,296.46/31,944.69 = 8,152.86/x
  3. Step 3: Cross multiply
    21,296.46x = 31,944.69 × 8,152.86
  4. Step 4: Simplify right side
    21,296.46x = 260,440,585.31
  5. Step 5: Solve for x
    x = 260,440,585.31/21,296.46
  6. Step 6: Final answer
    x = 12,229.29

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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.