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Finding the Fourth Proportional to 17,691.60, 26,533.25 and 7,825.47

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Solution

The fourth proportional to 17,691.60, 26,533.25 and 7,825.47 is: 11,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.60 : 26,533.25 = 7,825.47 : x
  2. Step 2: Convert to fraction form
    17,691.60/26,533.25 = 7,825.47/x
  3. Step 3: Cross multiply
    17,691.60x = 26,533.25 × 7,825.47
  4. Step 4: Simplify right side
    17,691.60x = 207,635,151.88
  5. Step 5: Solve for x
    x = 207,635,151.88/17,691.60
  6. Step 6: Final answer
    x = 11,736.37

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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.