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Finding the Fourth Proportional to 16,256.25, 24,384.39 and 3,944.25

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Solution

The fourth proportional to 16,256.25, 24,384.39 and 3,944.25 is: 5,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.25 : 24,384.39 = 3,944.25 : x
  2. Step 2: Convert to fraction form
    16,256.25/24,384.39 = 3,944.25/x
  3. Step 3: Cross multiply
    16,256.25x = 24,384.39 × 3,944.25
  4. Step 4: Simplify right side
    16,256.25x = 96,178,110.54
  5. Step 5: Solve for x
    x = 96,178,110.54/16,256.25
  6. Step 6: Final answer
    x = 5,916.38

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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.