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Finding the Fourth Proportional to 26,331, 39,502.74 and 7,863.48

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Solution

The fourth proportional to 26,331, 39,502.74 and 7,863.48 is: 11,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,331 : 39,502.74 = 7,863.48 : x
  2. Step 2: Convert to fraction form
    26,331/39,502.74 = 7,863.48/x
  3. Step 3: Cross multiply
    26,331x = 39,502.74 × 7,863.48
  4. Step 4: Simplify right side
    26,331x = 310,629,005.94
  5. Step 5: Solve for x
    x = 310,629,005.94/26,331
  6. Step 6: Final answer
    x = 11,797.08

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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.