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Finding the Fourth Proportional to 25,826.76, 38,735.04 and 7,101.96

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Solution

The fourth proportional to 25,826.76, 38,735.04 and 7,101.96 is: 10,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.76 : 38,735.04 = 7,101.96 : x
  2. Step 2: Convert to fraction form
    25,826.76/38,735.04 = 7,101.96/x
  3. Step 3: Cross multiply
    25,826.76x = 38,735.04 × 7,101.96
  4. Step 4: Simplify right side
    25,826.76x = 275,094,704.68
  5. Step 5: Solve for x
    x = 275,094,704.68/25,826.76
  6. Step 6: Final answer
    x = 10,651.54

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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.