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Finding the Fourth Proportional to 16,147.81, 24,224.96 and 5,759.29

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Solution

The fourth proportional to 16,147.81, 24,224.96 and 5,759.29 is: 8,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.81 : 24,224.96 = 5,759.29 : x
  2. Step 2: Convert to fraction form
    16,147.81/24,224.96 = 5,759.29/x
  3. Step 3: Cross multiply
    16,147.81x = 24,224.96 × 5,759.29
  4. Step 4: Simplify right side
    16,147.81x = 139,518,569.88
  5. Step 5: Solve for x
    x = 139,518,569.88/16,147.81
  6. Step 6: Final answer
    x = 8,640.09

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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.