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Finding the Fourth Proportional to 21,499.68, 32,245.74 and 5,704.86

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Solution

The fourth proportional to 21,499.68, 32,245.74 and 5,704.86 is: 8,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.68 : 32,245.74 = 5,704.86 : x
  2. Step 2: Convert to fraction form
    21,499.68/32,245.74 = 5,704.86/x
  3. Step 3: Cross multiply
    21,499.68x = 32,245.74 × 5,704.86
  4. Step 4: Simplify right side
    21,499.68x = 183,957,432.30
  5. Step 5: Solve for x
    x = 183,957,432.30/21,499.68
  6. Step 6: Final answer
    x = 8,556.29

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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.