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Finding the Fourth Proportional to 16,863, 25,277.22 and 7,008

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Solution

The fourth proportional to 16,863, 25,277.22 and 7,008 is: 10,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863 : 25,277.22 = 7,008 : x
  2. Step 2: Convert to fraction form
    16,863/25,277.22 = 7,008/x
  3. Step 3: Cross multiply
    16,863x = 25,277.22 × 7,008
  4. Step 4: Simplify right side
    16,863x = 177,142,757.76
  5. Step 5: Solve for x
    x = 177,142,757.76/16,863
  6. Step 6: Final answer
    x = 10,504.82

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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.