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Finding the Fourth Proportional to 17,691.20, 26,536.80 and 7,825.40

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Solution

The fourth proportional to 17,691.20, 26,536.80 and 7,825.40 is: 11,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.20 : 26,536.80 = 7,825.40 : x
  2. Step 2: Convert to fraction form
    17,691.20/26,536.80 = 7,825.40/x
  3. Step 3: Cross multiply
    17,691.20x = 26,536.80 × 7,825.40
  4. Step 4: Simplify right side
    17,691.20x = 207,661,074.72
  5. Step 5: Solve for x
    x = 207,661,074.72/17,691.20
  6. Step 6: Final answer
    x = 11,738.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.