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Finding the Fourth Proportional to 25,826.04, 38,741.22 and 9,195.12

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Solution

The fourth proportional to 25,826.04, 38,741.22 and 9,195.12 is: 13,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.04 : 38,741.22 = 9,195.12 : x
  2. Step 2: Convert to fraction form
    25,826.04/38,741.22 = 9,195.12/x
  3. Step 3: Cross multiply
    25,826.04x = 38,741.22 × 9,195.12
  4. Step 4: Simplify right side
    25,826.04x = 356,230,166.85
  5. Step 5: Solve for x
    x = 356,230,166.85/25,826.04
  6. Step 6: Final answer
    x = 13,793.45

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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.