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Finding the Fourth Proportional to 25,666, 38,514.36 and 11,074

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Solution

The fourth proportional to 25,666, 38,514.36 and 11,074 is: 16,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666 : 38,514.36 = 11,074 : x
  2. Step 2: Convert to fraction form
    25,666/38,514.36 = 11,074/x
  3. Step 3: Cross multiply
    25,666x = 38,514.36 × 11,074
  4. Step 4: Simplify right side
    25,666x = 426,508,022.64
  5. Step 5: Solve for x
    x = 426,508,022.64/25,666
  6. Step 6: Final answer
    x = 16,617.63

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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.