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Finding the Fourth Proportional to 25,991.28, 35,865.43 and 14,659.43

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Solution

The fourth proportional to 25,991.28, 35,865.43 and 14,659.43 is: 20,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,991.28 : 35,865.43 = 14,659.43 : x
  2. Step 2: Convert to fraction form
    25,991.28/35,865.43 = 14,659.43/x
  3. Step 3: Cross multiply
    25,991.28x = 35,865.43 × 14,659.43
  4. Step 4: Simplify right side
    25,991.28x = 525,766,828.73
  5. Step 5: Solve for x
    x = 525,766,828.73/25,991.28
  6. Step 6: Final answer
    x = 20,228.59

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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.