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Finding the Fourth Proportional to 17,649.87, 26,434.49 and 8,422.35

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Solution

The fourth proportional to 17,649.87, 26,434.49 and 8,422.35 is: 12,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.87 : 26,434.49 = 8,422.35 : x
  2. Step 2: Convert to fraction form
    17,649.87/26,434.49 = 8,422.35/x
  3. Step 3: Cross multiply
    17,649.87x = 26,434.49 × 8,422.35
  4. Step 4: Simplify right side
    17,649.87x = 222,640,484.74
  5. Step 5: Solve for x
    x = 222,640,484.74/17,649.87
  6. Step 6: Final answer
    x = 12,614.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.