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Finding the Fourth Proportional to 39,864, 59,796 and 16,491

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Solution

The fourth proportional to 39,864, 59,796 and 16,491 is: 24,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 59,796 = 16,491 : x
  2. Step 2: Convert to fraction form
    39,864/59,796 = 16,491/x
  3. Step 3: Cross multiply
    39,864x = 59,796 × 16,491
  4. Step 4: Simplify right side
    39,864x = 986,095,836
  5. Step 5: Solve for x
    x = 986,095,836/39,864
  6. Step 6: Final answer
    x = 24,736.50

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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.