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Finding the Fourth Proportional to 16,576, 24,864 and 8,368

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Solution

The fourth proportional to 16,576, 24,864 and 8,368 is: 12,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576 : 24,864 = 8,368 : x
  2. Step 2: Convert to fraction form
    16,576/24,864 = 8,368/x
  3. Step 3: Cross multiply
    16,576x = 24,864 × 8,368
  4. Step 4: Simplify right side
    16,576x = 208,061,952
  5. Step 5: Solve for x
    x = 208,061,952/16,576
  6. Step 6: Final answer
    x = 12,552

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.