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Finding the Fourth Proportional to 17,101.73, 25,631.64 and 9,712.41

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Solution

The fourth proportional to 17,101.73, 25,631.64 and 9,712.41 is: 14,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.73 : 25,631.64 = 9,712.41 : x
  2. Step 2: Convert to fraction form
    17,101.73/25,631.64 = 9,712.41/x
  3. Step 3: Cross multiply
    17,101.73x = 25,631.64 × 9,712.41
  4. Step 4: Simplify right side
    17,101.73x = 248,944,900.53
  5. Step 5: Solve for x
    x = 248,944,900.53/17,101.73
  6. Step 6: Final answer
    x = 14,556.71

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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.