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Finding the Fourth Proportional to 16,524.24, 24,779.56 and 8,201.20

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Solution

The fourth proportional to 16,524.24, 24,779.56 and 8,201.20 is: 12,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.24 : 24,779.56 = 8,201.20 : x
  2. Step 2: Convert to fraction form
    16,524.24/24,779.56 = 8,201.20/x
  3. Step 3: Cross multiply
    16,524.24x = 24,779.56 × 8,201.20
  4. Step 4: Simplify right side
    16,524.24x = 203,222,127.47
  5. Step 5: Solve for x
    x = 203,222,127.47/16,524.24
  6. Step 6: Final answer
    x = 12,298.43

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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.