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Finding the Fourth Proportional to 24,576, 36,864 and 8,160

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Solution

The fourth proportional to 24,576, 36,864 and 8,160 is: 12,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 36,864 = 8,160 : x
  2. Step 2: Convert to fraction form
    24,576/36,864 = 8,160/x
  3. Step 3: Cross multiply
    24,576x = 36,864 × 8,160
  4. Step 4: Simplify right side
    24,576x = 300,810,240
  5. Step 5: Solve for x
    x = 300,810,240/24,576
  6. Step 6: Final answer
    x = 12,240

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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.