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Finding the Fourth Proportional to 26,657.54, 36,786.71 and 17,571.77

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Solution

The fourth proportional to 26,657.54, 36,786.71 and 17,571.77 is: 24,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.54 : 36,786.71 = 17,571.77 : x
  2. Step 2: Convert to fraction form
    26,657.54/36,786.71 = 17,571.77/x
  3. Step 3: Cross multiply
    26,657.54x = 36,786.71 × 17,571.77
  4. Step 4: Simplify right side
    26,657.54x = 646,407,335.38
  5. Step 5: Solve for x
    x = 646,407,335.38/26,657.54
  6. Step 6: Final answer
    x = 24,248.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.