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Finding the Fourth Proportional to 16,728, 25,092 and 5,784

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Solution

The fourth proportional to 16,728, 25,092 and 5,784 is: 8,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728 : 25,092 = 5,784 : x
  2. Step 2: Convert to fraction form
    16,728/25,092 = 5,784/x
  3. Step 3: Cross multiply
    16,728x = 25,092 × 5,784
  4. Step 4: Simplify right side
    16,728x = 145,132,128
  5. Step 5: Solve for x
    x = 145,132,128/16,728
  6. Step 6: Final answer
    x = 8,676

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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.