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Finding the Fourth Proportional to 17,957.68, 26,906.82 and 9,180.52

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Solution

The fourth proportional to 17,957.68, 26,906.82 and 9,180.52 is: 13,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.68 : 26,906.82 = 9,180.52 : x
  2. Step 2: Convert to fraction form
    17,957.68/26,906.82 = 9,180.52/x
  3. Step 3: Cross multiply
    17,957.68x = 26,906.82 × 9,180.52
  4. Step 4: Simplify right side
    17,957.68x = 247,018,599.15
  5. Step 5: Solve for x
    x = 247,018,599.15/17,957.68
  6. Step 6: Final answer
    x = 13,755.60

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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.