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Finding the Fourth Proportional to 38,644.58, 57,965.34 and 13,683.62

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Solution

The fourth proportional to 38,644.58, 57,965.34 and 13,683.62 is: 20,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.58 : 57,965.34 = 13,683.62 : x
  2. Step 2: Convert to fraction form
    38,644.58/57,965.34 = 13,683.62/x
  3. Step 3: Cross multiply
    38,644.58x = 57,965.34 × 13,683.62
  4. Step 4: Simplify right side
    38,644.58x = 793,175,395.90
  5. Step 5: Solve for x
    x = 793,175,395.90/38,644.58
  6. Step 6: Final answer
    x = 20,524.88

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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.