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Finding the Fourth Proportional to 16,216.48, 24,311.04 and 8,401.60

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Solution

The fourth proportional to 16,216.48, 24,311.04 and 8,401.60 is: 12,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.48 : 24,311.04 = 8,401.60 : x
  2. Step 2: Convert to fraction form
    16,216.48/24,311.04 = 8,401.60/x
  3. Step 3: Cross multiply
    16,216.48x = 24,311.04 × 8,401.60
  4. Step 4: Simplify right side
    16,216.48x = 204,251,633.66
  5. Step 5: Solve for x
    x = 204,251,633.66/16,216.48
  6. Step 6: Final answer
    x = 12,595.31

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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.