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Finding the Fourth Proportional to 16,243, 24,364.62 and 3,931

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Solution

The fourth proportional to 16,243, 24,364.62 and 3,931 is: 5,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243 : 24,364.62 = 3,931 : x
  2. Step 2: Convert to fraction form
    16,243/24,364.62 = 3,931/x
  3. Step 3: Cross multiply
    16,243x = 24,364.62 × 3,931
  4. Step 4: Simplify right side
    16,243x = 95,777,321.22
  5. Step 5: Solve for x
    x = 95,777,321.22/16,243
  6. Step 6: Final answer
    x = 5,896.53

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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.