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Finding the Fourth Proportional to 16,216.32, 24,309.84 and 8,401.44

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Solution

The fourth proportional to 16,216.32, 24,309.84 and 8,401.44 is: 12,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.32 : 24,309.84 = 8,401.44 : x
  2. Step 2: Convert to fraction form
    16,216.32/24,309.84 = 8,401.44/x
  3. Step 3: Cross multiply
    16,216.32x = 24,309.84 × 8,401.44
  4. Step 4: Simplify right side
    16,216.32x = 204,237,662.17
  5. Step 5: Solve for x
    x = 204,237,662.17/16,216.32
  6. Step 6: Final answer
    x = 12,594.58

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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.