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Finding the Fourth Proportional to 25,811.87, 35,622.74 and 15,740.87

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Solution

The fourth proportional to 25,811.87, 35,622.74 and 15,740.87 is: 21,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811.87 : 35,622.74 = 15,740.87 : x
  2. Step 2: Convert to fraction form
    25,811.87/35,622.74 = 15,740.87/x
  3. Step 3: Cross multiply
    25,811.87x = 35,622.74 × 15,740.87
  4. Step 4: Simplify right side
    25,811.87x = 560,732,919.38
  5. Step 5: Solve for x
    x = 560,732,919.38/25,811.87
  6. Step 6: Final answer
    x = 21,723.84

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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.