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Finding the Fourth Proportional to 25,826.45, 38,734.74 and 7,101.77

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Solution

The fourth proportional to 25,826.45, 38,734.74 and 7,101.77 is: 10,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.45 : 38,734.74 = 7,101.77 : x
  2. Step 2: Convert to fraction form
    25,826.45/38,734.74 = 7,101.77/x
  3. Step 3: Cross multiply
    25,826.45x = 38,734.74 × 7,101.77
  4. Step 4: Simplify right side
    25,826.45x = 275,085,020.82
  5. Step 5: Solve for x
    x = 275,085,020.82/25,826.45
  6. Step 6: Final answer
    x = 10,651.29

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