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Finding the Fourth Proportional to 38,611.68, 57,906 and 13,647.12

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Solution

The fourth proportional to 38,611.68, 57,906 and 13,647.12 is: 20,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611.68 : 57,906 = 13,647.12 : x
  2. Step 2: Convert to fraction form
    38,611.68/57,906 = 13,647.12/x
  3. Step 3: Cross multiply
    38,611.68x = 57,906 × 13,647.12
  4. Step 4: Simplify right side
    38,611.68x = 790,250,130.72
  5. Step 5: Solve for x
    x = 790,250,130.72/38,611.68
  6. Step 6: Final answer
    x = 20,466.61

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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.