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Finding the Fourth Proportional to 26,400.46, 39,606.82 and 7,680.94

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Solution

The fourth proportional to 26,400.46, 39,606.82 and 7,680.94 is: 11,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400.46 : 39,606.82 = 7,680.94 : x
  2. Step 2: Convert to fraction form
    26,400.46/39,606.82 = 7,680.94/x
  3. Step 3: Cross multiply
    26,400.46x = 39,606.82 × 7,680.94
  4. Step 4: Simplify right side
    26,400.46x = 304,217,608.01
  5. Step 5: Solve for x
    x = 304,217,608.01/26,400.46
  6. Step 6: Final answer
    x = 11,523.19

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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.