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Finding the Fourth Proportional to 21,672.56, 32,508.78 and 8,166.24

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Solution

The fourth proportional to 21,672.56, 32,508.78 and 8,166.24 is: 12,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.56 : 32,508.78 = 8,166.24 : x
  2. Step 2: Convert to fraction form
    21,672.56/32,508.78 = 8,166.24/x
  3. Step 3: Cross multiply
    21,672.56x = 32,508.78 × 8,166.24
  4. Step 4: Simplify right side
    21,672.56x = 265,474,499.59
  5. Step 5: Solve for x
    x = 265,474,499.59/21,672.56
  6. Step 6: Final answer
    x = 12,249.34

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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.