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Finding the Fourth Proportional to 25,935.50, 35,793.42 and 14,757.50

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Solution

The fourth proportional to 25,935.50, 35,793.42 and 14,757.50 is: 20,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935.50 : 35,793.42 = 14,757.50 : x
  2. Step 2: Convert to fraction form
    25,935.50/35,793.42 = 14,757.50/x
  3. Step 3: Cross multiply
    25,935.50x = 35,793.42 × 14,757.50
  4. Step 4: Simplify right side
    25,935.50x = 528,221,395.65
  5. Step 5: Solve for x
    x = 528,221,395.65/25,935.50
  6. Step 6: Final answer
    x = 20,366.73

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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.