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Finding the Fourth Proportional to 25,896.76, 38,845.97 and 7,175.19

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Solution

The fourth proportional to 25,896.76, 38,845.97 and 7,175.19 is: 10,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.76 : 38,845.97 = 7,175.19 : x
  2. Step 2: Convert to fraction form
    25,896.76/38,845.97 = 7,175.19/x
  3. Step 3: Cross multiply
    25,896.76x = 38,845.97 × 7,175.19
  4. Step 4: Simplify right side
    25,896.76x = 278,727,215.48
  5. Step 5: Solve for x
    x = 278,727,215.48/25,896.76
  6. Step 6: Final answer
    x = 10,763.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.