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Finding the Fourth Proportional to 16,259.81, 24,382.80 and 5,163.53

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Solution

The fourth proportional to 16,259.81, 24,382.80 and 5,163.53 is: 7,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.81 : 24,382.80 = 5,163.53 : x
  2. Step 2: Convert to fraction form
    16,259.81/24,382.80 = 5,163.53/x
  3. Step 3: Cross multiply
    16,259.81x = 24,382.80 × 5,163.53
  4. Step 4: Simplify right side
    16,259.81x = 125,901,197.37
  5. Step 5: Solve for x
    x = 125,901,197.37/16,259.81
  6. Step 6: Final answer
    x = 7,743.09

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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.