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Finding the Fourth Proportional to 38,137.68, 57,216.30 and 11,842.80

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Solution

The fourth proportional to 38,137.68, 57,216.30 and 11,842.80 is: 17,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.68 : 57,216.30 = 11,842.80 : x
  2. Step 2: Convert to fraction form
    38,137.68/57,216.30 = 11,842.80/x
  3. Step 3: Cross multiply
    38,137.68x = 57,216.30 × 11,842.80
  4. Step 4: Simplify right side
    38,137.68x = 677,601,197.64
  5. Step 5: Solve for x
    x = 677,601,197.64/38,137.68
  6. Step 6: Final answer
    x = 17,767.24

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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.