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Finding the Fourth Proportional to 16,843.88, 25,275.54 and 9,348.14

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Solution

The fourth proportional to 16,843.88, 25,275.54 and 9,348.14 is: 14,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.88 : 25,275.54 = 9,348.14 : x
  2. Step 2: Convert to fraction form
    16,843.88/25,275.54 = 9,348.14/x
  3. Step 3: Cross multiply
    16,843.88x = 25,275.54 × 9,348.14
  4. Step 4: Simplify right side
    16,843.88x = 236,279,286.50
  5. Step 5: Solve for x
    x = 236,279,286.50/16,843.88
  6. Step 6: Final answer
    x = 14,027.60

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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.