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Finding the Fourth Proportional to 38,457.66, 57,679.19 and 16,286.60

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Solution

The fourth proportional to 38,457.66, 57,679.19 and 16,286.60 is: 24,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.66 : 57,679.19 = 16,286.60 : x
  2. Step 2: Convert to fraction form
    38,457.66/57,679.19 = 16,286.60/x
  3. Step 3: Cross multiply
    38,457.66x = 57,679.19 × 16,286.60
  4. Step 4: Simplify right side
    38,457.66x = 939,397,526.03
  5. Step 5: Solve for x
    x = 939,397,526.03/38,457.66
  6. Step 6: Final answer
    x = 24,426.80

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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.