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Finding the Fourth Proportional to 26,668.52, 39,991.26 and 10,241

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Solution

The fourth proportional to 26,668.52, 39,991.26 and 10,241 is: 15,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668.52 : 39,991.26 = 10,241 : x
  2. Step 2: Convert to fraction form
    26,668.52/39,991.26 = 10,241/x
  3. Step 3: Cross multiply
    26,668.52x = 39,991.26 × 10,241
  4. Step 4: Simplify right side
    26,668.52x = 409,550,493.66
  5. Step 5: Solve for x
    x = 409,550,493.66/26,668.52
  6. Step 6: Final answer
    x = 15,357.08

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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.