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Finding the Fourth Proportional to 17,284.06, 25,932.17 and 9,894.70

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Solution

The fourth proportional to 17,284.06, 25,932.17 and 9,894.70 is: 14,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.06 : 25,932.17 = 9,894.70 : x
  2. Step 2: Convert to fraction form
    17,284.06/25,932.17 = 9,894.70/x
  3. Step 3: Cross multiply
    17,284.06x = 25,932.17 × 9,894.70
  4. Step 4: Simplify right side
    17,284.06x = 256,591,042.50
  5. Step 5: Solve for x
    x = 256,591,042.50/17,284.06
  6. Step 6: Final answer
    x = 14,845.53

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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.