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Finding the Fourth Proportional to 16,216.70, 24,291.21 and 8,401.82

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Solution

The fourth proportional to 16,216.70, 24,291.21 and 8,401.82 is: 12,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.70 : 24,291.21 = 8,401.82 : x
  2. Step 2: Convert to fraction form
    16,216.70/24,291.21 = 8,401.82/x
  3. Step 3: Cross multiply
    16,216.70x = 24,291.21 × 8,401.82
  4. Step 4: Simplify right side
    16,216.70x = 204,090,374.00
  5. Step 5: Solve for x
    x = 204,090,374.00/16,216.70
  6. Step 6: Final answer
    x = 12,585.20

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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.