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Finding the Fourth Proportional to 25,735.36, 38,609.29 and 8,205.18

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Solution

The fourth proportional to 25,735.36, 38,609.29 and 8,205.18 is: 12,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.36 : 38,609.29 = 8,205.18 : x
  2. Step 2: Convert to fraction form
    25,735.36/38,609.29 = 8,205.18/x
  3. Step 3: Cross multiply
    25,735.36x = 38,609.29 × 8,205.18
  4. Step 4: Simplify right side
    25,735.36x = 316,795,981.08
  5. Step 5: Solve for x
    x = 316,795,981.08/25,735.36
  6. Step 6: Final answer
    x = 12,309.76

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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.