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Finding the Fourth Proportional to 23,832.98, 35,749.73 and 7,193.17

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Solution

The fourth proportional to 23,832.98, 35,749.73 and 7,193.17 is: 10,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.98 : 35,749.73 = 7,193.17 : x
  2. Step 2: Convert to fraction form
    23,832.98/35,749.73 = 7,193.17/x
  3. Step 3: Cross multiply
    23,832.98x = 35,749.73 × 7,193.17
  4. Step 4: Simplify right side
    23,832.98x = 257,153,813.95
  5. Step 5: Solve for x
    x = 257,153,813.95/23,832.98
  6. Step 6: Final answer
    x = 10,789.83

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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.