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Finding the Fourth Proportional to 26,651.96, 39,979.86 and 7,675.82

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Solution

The fourth proportional to 26,651.96, 39,979.86 and 7,675.82 is: 11,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,651.96 : 39,979.86 = 7,675.82 : x
  2. Step 2: Convert to fraction form
    26,651.96/39,979.86 = 7,675.82/x
  3. Step 3: Cross multiply
    26,651.96x = 39,979.86 × 7,675.82
  4. Step 4: Simplify right side
    26,651.96x = 306,878,173.40
  5. Step 5: Solve for x
    x = 306,878,173.40/26,651.96
  6. Step 6: Final answer
    x = 11,514.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.