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Finding the Fourth Proportional to 26,535.44, 39,801.72 and 8,066

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Solution

The fourth proportional to 26,535.44, 39,801.72 and 8,066 is: 12,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,535.44 : 39,801.72 = 8,066 : x
  2. Step 2: Convert to fraction form
    26,535.44/39,801.72 = 8,066/x
  3. Step 3: Cross multiply
    26,535.44x = 39,801.72 × 8,066
  4. Step 4: Simplify right side
    26,535.44x = 321,040,673.52
  5. Step 5: Solve for x
    x = 321,040,673.52/26,535.44
  6. Step 6: Final answer
    x = 12,098.56

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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.