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Finding the Fourth Proportional to 25,867.82, 35,696.57 and 15,813.09

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Solution

The fourth proportional to 25,867.82, 35,696.57 and 15,813.09 is: 21,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867.82 : 35,696.57 = 15,813.09 : x
  2. Step 2: Convert to fraction form
    25,867.82/35,696.57 = 15,813.09/x
  3. Step 3: Cross multiply
    25,867.82x = 35,696.57 × 15,813.09
  4. Step 4: Simplify right side
    25,867.82x = 564,472,995.04
  5. Step 5: Solve for x
    x = 564,472,995.04/25,867.82
  6. Step 6: Final answer
    x = 21,821.43

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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.