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Finding the Fourth Proportional to 16,256.50, 24,384.76 and 3,944.50

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Solution

The fourth proportional to 16,256.50, 24,384.76 and 3,944.50 is: 5,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.50 : 24,384.76 = 3,944.50 : x
  2. Step 2: Convert to fraction form
    16,256.50/24,384.76 = 3,944.50/x
  3. Step 3: Cross multiply
    16,256.50x = 24,384.76 × 3,944.50
  4. Step 4: Simplify right side
    16,256.50x = 96,185,685.82
  5. Step 5: Solve for x
    x = 96,185,685.82/16,256.50
  6. Step 6: Final answer
    x = 5,916.75

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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.