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Finding the Fourth Proportional to 17,007.68, 23,471.38 and 9,453.78

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Solution

The fourth proportional to 17,007.68, 23,471.38 and 9,453.78 is: 13,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.68 : 23,471.38 = 9,453.78 : x
  2. Step 2: Convert to fraction form
    17,007.68/23,471.38 = 9,453.78/x
  3. Step 3: Cross multiply
    17,007.68x = 23,471.38 × 9,453.78
  4. Step 4: Simplify right side
    17,007.68x = 221,893,262.82
  5. Step 5: Solve for x
    x = 221,893,262.82/17,007.68
  6. Step 6: Final answer
    x = 13,046.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.