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Finding the Fourth Proportional to 16,462.40, 24,662.58 and 8,132.66

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Solution

The fourth proportional to 16,462.40, 24,662.58 and 8,132.66 is: 12,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.40 : 24,662.58 = 8,132.66 : x
  2. Step 2: Convert to fraction form
    16,462.40/24,662.58 = 8,132.66/x
  3. Step 3: Cross multiply
    16,462.40x = 24,662.58 × 8,132.66
  4. Step 4: Simplify right side
    16,462.40x = 200,572,377.86
  5. Step 5: Solve for x
    x = 200,572,377.86/16,462.40
  6. Step 6: Final answer
    x = 12,183.67

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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.