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Finding the Fourth Proportional to 23,917.62, 35,853.17 and 11,434.41

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Solution

The fourth proportional to 23,917.62, 35,853.17 and 11,434.41 is: 17,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.62 : 35,853.17 = 11,434.41 : x
  2. Step 2: Convert to fraction form
    23,917.62/35,853.17 = 11,434.41/x
  3. Step 3: Cross multiply
    23,917.62x = 35,853.17 × 11,434.41
  4. Step 4: Simplify right side
    23,917.62x = 409,959,788.41
  5. Step 5: Solve for x
    x = 409,959,788.41/23,917.62
  6. Step 6: Final answer
    x = 17,140.49

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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.