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Finding the Fourth Proportional to 16,544.65, 24,814.54 and 6,683.71

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Solution

The fourth proportional to 16,544.65, 24,814.54 and 6,683.71 is: 10,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.65 : 24,814.54 = 6,683.71 : x
  2. Step 2: Convert to fraction form
    16,544.65/24,814.54 = 6,683.71/x
  3. Step 3: Cross multiply
    16,544.65x = 24,814.54 × 6,683.71
  4. Step 4: Simplify right side
    16,544.65x = 165,853,189.14
  5. Step 5: Solve for x
    x = 165,853,189.14/16,544.65
  6. Step 6: Final answer
    x = 10,024.58

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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.