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Finding the Fourth Proportional to 17,182.33, 23,710.49 and 10,107.38

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Solution

The fourth proportional to 17,182.33, 23,710.49 and 10,107.38 is: 13,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.33 : 23,710.49 = 10,107.38 : x
  2. Step 2: Convert to fraction form
    17,182.33/23,710.49 = 10,107.38/x
  3. Step 3: Cross multiply
    17,182.33x = 23,710.49 × 10,107.38
  4. Step 4: Simplify right side
    17,182.33x = 239,650,932.42
  5. Step 5: Solve for x
    x = 239,650,932.42/17,182.33
  6. Step 6: Final answer
    x = 13,947.52

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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.