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Finding the Fourth Proportional to 25,500.87, 35,190.05 and 14,170.31

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Solution

The fourth proportional to 25,500.87, 35,190.05 and 14,170.31 is: 19,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.87 : 35,190.05 = 14,170.31 : x
  2. Step 2: Convert to fraction form
    25,500.87/35,190.05 = 14,170.31/x
  3. Step 3: Cross multiply
    25,500.87x = 35,190.05 × 14,170.31
  4. Step 4: Simplify right side
    25,500.87x = 498,653,917.42
  5. Step 5: Solve for x
    x = 498,653,917.42/25,500.87
  6. Step 6: Final answer
    x = 19,554.39

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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.