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Finding the Fourth Proportional to 16,917, 25,376.70 and 5,228.70

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Solution

The fourth proportional to 16,917, 25,376.70 and 5,228.70 is: 7,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917 : 25,376.70 = 5,228.70 : x
  2. Step 2: Convert to fraction form
    16,917/25,376.70 = 5,228.70/x
  3. Step 3: Cross multiply
    16,917x = 25,376.70 × 5,228.70
  4. Step 4: Simplify right side
    16,917x = 132,687,151.29
  5. Step 5: Solve for x
    x = 132,687,151.29/16,917
  6. Step 6: Final answer
    x = 7,843.42

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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.