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Finding the Fourth Proportional to 16,544.90, 24,814.92 and 6,683.96

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Solution

The fourth proportional to 16,544.90, 24,814.92 and 6,683.96 is: 10,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.90 : 24,814.92 = 6,683.96 : x
  2. Step 2: Convert to fraction form
    16,544.90/24,814.92 = 6,683.96/x
  3. Step 3: Cross multiply
    16,544.90x = 24,814.92 × 6,683.96
  4. Step 4: Simplify right side
    16,544.90x = 165,861,932.68
  5. Step 5: Solve for x
    x = 165,861,932.68/16,544.90
  6. Step 6: Final answer
    x = 10,024.96

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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.