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Finding the Fourth Proportional to 16,381.92, 24,558.12 and 6,519

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Solution

The fourth proportional to 16,381.92, 24,558.12 and 6,519 is: 9,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.92 : 24,558.12 = 6,519 : x
  2. Step 2: Convert to fraction form
    16,381.92/24,558.12 = 6,519/x
  3. Step 3: Cross multiply
    16,381.92x = 24,558.12 × 6,519
  4. Step 4: Simplify right side
    16,381.92x = 160,094,384.28
  5. Step 5: Solve for x
    x = 160,094,384.28/16,381.92
  6. Step 6: Final answer
    x = 9,772.63

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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.