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Finding the Fourth Proportional to 16,239.56, 24,344.72 and 5,844

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Solution

The fourth proportional to 16,239.56, 24,344.72 and 5,844 is: 8,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.56 : 24,344.72 = 5,844 : x
  2. Step 2: Convert to fraction form
    16,239.56/24,344.72 = 5,844/x
  3. Step 3: Cross multiply
    16,239.56x = 24,344.72 × 5,844
  4. Step 4: Simplify right side
    16,239.56x = 142,270,543.68
  5. Step 5: Solve for x
    x = 142,270,543.68/16,239.56
  6. Step 6: Final answer
    x = 8,760.74

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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.