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Finding the Fourth Proportional to 21,330.83, 32,000.76 and 8,183.18

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Solution

The fourth proportional to 21,330.83, 32,000.76 and 8,183.18 is: 12,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.83 : 32,000.76 = 8,183.18 : x
  2. Step 2: Convert to fraction form
    21,330.83/32,000.76 = 8,183.18/x
  3. Step 3: Cross multiply
    21,330.83x = 32,000.76 × 8,183.18
  4. Step 4: Simplify right side
    21,330.83x = 261,867,819.21
  5. Step 5: Solve for x
    x = 261,867,819.21/21,330.83
  6. Step 6: Final answer
    x = 12,276.50

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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.