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Finding the Fourth Proportional to 16,309.81, 24,474.44 and 5,922.37

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Solution

The fourth proportional to 16,309.81, 24,474.44 and 5,922.37 is: 8,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.81 : 24,474.44 = 5,922.37 : x
  2. Step 2: Convert to fraction form
    16,309.81/24,474.44 = 5,922.37/x
  3. Step 3: Cross multiply
    16,309.81x = 24,474.44 × 5,922.37
  4. Step 4: Simplify right side
    16,309.81x = 144,946,689.22
  5. Step 5: Solve for x
    x = 144,946,689.22/16,309.81
  6. Step 6: Final answer
    x = 8,887.09

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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.