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Finding the Fourth Proportional to 25,797.42, 35,606.79 and 15,731.42

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Solution

The fourth proportional to 25,797.42, 35,606.79 and 15,731.42 is: 21,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.42 : 35,606.79 = 15,731.42 : x
  2. Step 2: Convert to fraction form
    25,797.42/35,606.79 = 15,731.42/x
  3. Step 3: Cross multiply
    25,797.42x = 35,606.79 × 15,731.42
  4. Step 4: Simplify right side
    25,797.42x = 560,145,190.31
  5. Step 5: Solve for x
    x = 560,145,190.31/25,797.42
  6. Step 6: Final answer
    x = 21,713.23

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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.