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Finding the Fourth Proportional to 16,525.24, 24,781.06 and 8,202.20

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Solution

The fourth proportional to 16,525.24, 24,781.06 and 8,202.20 is: 12,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.24 : 24,781.06 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    16,525.24/24,781.06 = 8,202.20/x
  3. Step 3: Cross multiply
    16,525.24x = 24,781.06 × 8,202.20
  4. Step 4: Simplify right side
    16,525.24x = 203,259,210.33
  5. Step 5: Solve for x
    x = 203,259,210.33/16,525.24
  6. Step 6: Final answer
    x = 12,299.92

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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.