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Finding the Fourth Proportional to 25,645.67, 38,464.65 and 8,113.22

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Solution

The fourth proportional to 25,645.67, 38,464.65 and 8,113.22 is: 12,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.67 : 38,464.65 = 8,113.22 : x
  2. Step 2: Convert to fraction form
    25,645.67/38,464.65 = 8,113.22/x
  3. Step 3: Cross multiply
    25,645.67x = 38,464.65 × 8,113.22
  4. Step 4: Simplify right side
    25,645.67x = 312,072,119.59
  5. Step 5: Solve for x
    x = 312,072,119.59/25,645.67
  6. Step 6: Final answer
    x = 12,168.61

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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.