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Finding the Fourth Proportional to 38,497.31, 57,745.96 and 14,486.12

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Solution

The fourth proportional to 38,497.31, 57,745.96 and 14,486.12 is: 21,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.31 : 57,745.96 = 14,486.12 : x
  2. Step 2: Convert to fraction form
    38,497.31/57,745.96 = 14,486.12/x
  3. Step 3: Cross multiply
    38,497.31x = 57,745.96 × 14,486.12
  4. Step 4: Simplify right side
    38,497.31x = 836,515,014.22
  5. Step 5: Solve for x
    x = 836,515,014.22/38,497.31
  6. Step 6: Final answer
    x = 21,729.18

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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.