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Finding the Fourth Proportional to 26,406.50, 39,610.26 and 9,757.94

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Solution

The fourth proportional to 26,406.50, 39,610.26 and 9,757.94 is: 14,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.50 : 39,610.26 = 9,757.94 : x
  2. Step 2: Convert to fraction form
    26,406.50/39,610.26 = 9,757.94/x
  3. Step 3: Cross multiply
    26,406.50x = 39,610.26 × 9,757.94
  4. Step 4: Simplify right side
    26,406.50x = 386,514,540.46
  5. Step 5: Solve for x
    x = 386,514,540.46/26,406.50
  6. Step 6: Final answer
    x = 14,637.10

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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.