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Finding the Fourth Proportional to 25,871.97, 35,696.99 and 15,796.74

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Solution

The fourth proportional to 25,871.97, 35,696.99 and 15,796.74 is: 21,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.97 : 35,696.99 = 15,796.74 : x
  2. Step 2: Convert to fraction form
    25,871.97/35,696.99 = 15,796.74/x
  3. Step 3: Cross multiply
    25,871.97x = 35,696.99 × 15,796.74
  4. Step 4: Simplify right side
    25,871.97x = 563,896,109.30
  5. Step 5: Solve for x
    x = 563,896,109.30/25,871.97
  6. Step 6: Final answer
    x = 21,795.64

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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.