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Finding the Fourth Proportional to 16,371.69, 24,549 and 5,837.64

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Solution

The fourth proportional to 16,371.69, 24,549 and 5,837.64 is: 8,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.69 : 24,549 = 5,837.64 : x
  2. Step 2: Convert to fraction form
    16,371.69/24,549 = 5,837.64/x
  3. Step 3: Cross multiply
    16,371.69x = 24,549 × 5,837.64
  4. Step 4: Simplify right side
    16,371.69x = 143,308,224.36
  5. Step 5: Solve for x
    x = 143,308,224.36/16,371.69
  6. Step 6: Final answer
    x = 8,753.42

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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.