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Finding the Fourth Proportional to 25,797.38, 35,589.42 and 15,724.41

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Solution

The fourth proportional to 25,797.38, 35,589.42 and 15,724.41 is: 21,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.38 : 35,589.42 = 15,724.41 : x
  2. Step 2: Convert to fraction form
    25,797.38/35,589.42 = 15,724.41/x
  3. Step 3: Cross multiply
    25,797.38x = 35,589.42 × 15,724.41
  4. Step 4: Simplify right side
    25,797.38x = 559,622,631.74
  5. Step 5: Solve for x
    x = 559,622,631.74/25,797.38
  6. Step 6: Final answer
    x = 21,693.01

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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.