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Finding the Fourth Proportional to 23,968, 33,077.28 and 13,212.85

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Solution

The fourth proportional to 23,968, 33,077.28 and 13,212.85 is: 18,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968 : 33,077.28 = 13,212.85 : x
  2. Step 2: Convert to fraction form
    23,968/33,077.28 = 13,212.85/x
  3. Step 3: Cross multiply
    23,968x = 33,077.28 × 13,212.85
  4. Step 4: Simplify right side
    23,968x = 437,045,139.05
  5. Step 5: Solve for x
    x = 437,045,139.05/23,968
  6. Step 6: Final answer
    x = 18,234.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.