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Finding the Fourth Proportional to 17,091.71, 23,586.49 and 9,537.99

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Solution

The fourth proportional to 17,091.71, 23,586.49 and 9,537.99 is: 13,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.71 : 23,586.49 = 9,537.99 : x
  2. Step 2: Convert to fraction form
    17,091.71/23,586.49 = 9,537.99/x
  3. Step 3: Cross multiply
    17,091.71x = 23,586.49 × 9,537.99
  4. Step 4: Simplify right side
    17,091.71x = 224,967,629.23
  5. Step 5: Solve for x
    x = 224,967,629.23/17,091.71
  6. Step 6: Final answer
    x = 13,162.38

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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.