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Finding the Fourth Proportional to 26,772.78, 40,130.22 and 17,419.50

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Solution

The fourth proportional to 26,772.78, 40,130.22 and 17,419.50 is: 26,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,772.78 : 40,130.22 = 17,419.50 : x
  2. Step 2: Convert to fraction form
    26,772.78/40,130.22 = 17,419.50/x
  3. Step 3: Cross multiply
    26,772.78x = 40,130.22 × 17,419.50
  4. Step 4: Simplify right side
    26,772.78x = 699,048,367.29
  5. Step 5: Solve for x
    x = 699,048,367.29/26,772.78
  6. Step 6: Final answer
    x = 26,110.41

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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.