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Finding the Fourth Proportional to 16,384.08, 24,576.12 and 6,894.96

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Solution

The fourth proportional to 16,384.08, 24,576.12 and 6,894.96 is: 10,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.08 : 24,576.12 = 6,894.96 : x
  2. Step 2: Convert to fraction form
    16,384.08/24,576.12 = 6,894.96/x
  3. Step 3: Cross multiply
    16,384.08x = 24,576.12 × 6,894.96
  4. Step 4: Simplify right side
    16,384.08x = 169,451,364.36
  5. Step 5: Solve for x
    x = 169,451,364.36/16,384.08
  6. Step 6: Final answer
    x = 10,342.44

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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.