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Finding the Fourth Proportional to 17,083.25, 23,574.92 and 9,914.57

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Solution

The fourth proportional to 17,083.25, 23,574.92 and 9,914.57 is: 13,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.25 : 23,574.92 = 9,914.57 : x
  2. Step 2: Convert to fraction form
    17,083.25/23,574.92 = 9,914.57/x
  3. Step 3: Cross multiply
    17,083.25x = 23,574.92 × 9,914.57
  4. Step 4: Simplify right side
    17,083.25x = 233,735,115.54
  5. Step 5: Solve for x
    x = 233,735,115.54/17,083.25
  6. Step 6: Final answer
    x = 13,682.12

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