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Finding the Fourth Proportional to 25,856.87, 35,684.55 and 15,105.20

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Solution

The fourth proportional to 25,856.87, 35,684.55 and 15,105.20 is: 20,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.87 : 35,684.55 = 15,105.20 : x
  2. Step 2: Convert to fraction form
    25,856.87/35,684.55 = 15,105.20/x
  3. Step 3: Cross multiply
    25,856.87x = 35,684.55 × 15,105.20
  4. Step 4: Simplify right side
    25,856.87x = 539,022,086.24
  5. Step 5: Solve for x
    x = 539,022,086.24/25,856.87
  6. Step 6: Final answer
    x = 20,846.38

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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.