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Finding the Fourth Proportional to 15,768.72, 23,650.92 and 9,198

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Solution

The fourth proportional to 15,768.72, 23,650.92 and 9,198 is: 13,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.72 : 23,650.92 = 9,198 : x
  2. Step 2: Convert to fraction form
    15,768.72/23,650.92 = 9,198/x
  3. Step 3: Cross multiply
    15,768.72x = 23,650.92 × 9,198
  4. Step 4: Simplify right side
    15,768.72x = 217,541,162.16
  5. Step 5: Solve for x
    x = 217,541,162.16/15,768.72
  6. Step 6: Final answer
    x = 13,795.74

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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.