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Finding the Fourth Proportional to 16,143.18, 24,203.61 and 8,230.34

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Solution

The fourth proportional to 16,143.18, 24,203.61 and 8,230.34 is: 12,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.18 : 24,203.61 = 8,230.34 : x
  2. Step 2: Convert to fraction form
    16,143.18/24,203.61 = 8,230.34/x
  3. Step 3: Cross multiply
    16,143.18x = 24,203.61 × 8,230.34
  4. Step 4: Simplify right side
    16,143.18x = 199,204,000.04
  5. Step 5: Solve for x
    x = 199,204,000.04/16,143.18
  6. Step 6: Final answer
    x = 12,339.82

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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.