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Finding the Fourth Proportional to 25,600.38, 35,318.37 and 15,525.14

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Solution

The fourth proportional to 25,600.38, 35,318.37 and 15,525.14 is: 21,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.38 : 35,318.37 = 15,525.14 : x
  2. Step 2: Convert to fraction form
    25,600.38/35,318.37 = 15,525.14/x
  3. Step 3: Cross multiply
    25,600.38x = 35,318.37 × 15,525.14
  4. Step 4: Simplify right side
    25,600.38x = 548,322,638.82
  5. Step 5: Solve for x
    x = 548,322,638.82/25,600.38
  6. Step 6: Final answer
    x = 21,418.54

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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.