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Finding the Fourth Proportional to 17,257.17, 25,877.66 and 7,894.53

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Solution

The fourth proportional to 17,257.17, 25,877.66 and 7,894.53 is: 11,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.17 : 25,877.66 = 7,894.53 : x
  2. Step 2: Convert to fraction form
    17,257.17/25,877.66 = 7,894.53/x
  3. Step 3: Cross multiply
    17,257.17x = 25,877.66 × 7,894.53
  4. Step 4: Simplify right side
    17,257.17x = 204,291,923.73
  5. Step 5: Solve for x
    x = 204,291,923.73/17,257.17
  6. Step 6: Final answer
    x = 11,838.09

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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.