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Finding the Fourth Proportional to 16,291.62, 24,439.37 and 5,759.47

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Solution

The fourth proportional to 16,291.62, 24,439.37 and 5,759.47 is: 8,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.62 : 24,439.37 = 5,759.47 : x
  2. Step 2: Convert to fraction form
    16,291.62/24,439.37 = 5,759.47/x
  3. Step 3: Cross multiply
    16,291.62x = 24,439.37 × 5,759.47
  4. Step 4: Simplify right side
    16,291.62x = 140,757,820.09
  5. Step 5: Solve for x
    x = 140,757,820.09/16,291.62
  6. Step 6: Final answer
    x = 8,639.89

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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.