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Finding the Fourth Proportional to 21,610.08, 32,414.04 and 8,464.86

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Solution

The fourth proportional to 21,610.08, 32,414.04 and 8,464.86 is: 12,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.08 : 32,414.04 = 8,464.86 : x
  2. Step 2: Convert to fraction form
    21,610.08/32,414.04 = 8,464.86/x
  3. Step 3: Cross multiply
    21,610.08x = 32,414.04 × 8,464.86
  4. Step 4: Simplify right side
    21,610.08x = 274,380,310.63
  5. Step 5: Solve for x
    x = 274,380,310.63/21,610.08
  6. Step 6: Final answer
    x = 12,696.87

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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.