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Finding the Fourth Proportional to 16,529.15, 24,796.46 and 8,209.44

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Solution

The fourth proportional to 16,529.15, 24,796.46 and 8,209.44 is: 12,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.15 : 24,796.46 = 8,209.44 : x
  2. Step 2: Convert to fraction form
    16,529.15/24,796.46 = 8,209.44/x
  3. Step 3: Cross multiply
    16,529.15x = 24,796.46 × 8,209.44
  4. Step 4: Simplify right side
    16,529.15x = 203,565,009.54
  5. Step 5: Solve for x
    x = 203,565,009.54/16,529.15
  6. Step 6: Final answer
    x = 12,315.52

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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.