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Finding the Fourth Proportional to 26,407.48, 39,609.24 and 7,687.66

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Solution

The fourth proportional to 26,407.48, 39,609.24 and 7,687.66 is: 11,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.48 : 39,609.24 = 7,687.66 : x
  2. Step 2: Convert to fraction form
    26,407.48/39,609.24 = 7,687.66/x
  3. Step 3: Cross multiply
    26,407.48x = 39,609.24 × 7,687.66
  4. Step 4: Simplify right side
    26,407.48x = 304,502,369.98
  5. Step 5: Solve for x
    x = 304,502,369.98/26,407.48
  6. Step 6: Final answer
    x = 11,530.91

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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.