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Finding the Fourth Proportional to 16,894.17, 25,348.41 and 9,093.87

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Solution

The fourth proportional to 16,894.17, 25,348.41 and 9,093.87 is: 13,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.17 : 25,348.41 = 9,093.87 : x
  2. Step 2: Convert to fraction form
    16,894.17/25,348.41 = 9,093.87/x
  3. Step 3: Cross multiply
    16,894.17x = 25,348.41 × 9,093.87
  4. Step 4: Simplify right side
    16,894.17x = 230,515,145.25
  5. Step 5: Solve for x
    x = 230,515,145.25/16,894.17
  6. Step 6: Final answer
    x = 13,644.66

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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.