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Finding the Fourth Proportional to 17,761.94, 26,623.96 and 13,365.80

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Solution

The fourth proportional to 17,761.94, 26,623.96 and 13,365.80 is: 20,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.94 : 26,623.96 = 13,365.80 : x
  2. Step 2: Convert to fraction form
    17,761.94/26,623.96 = 13,365.80/x
  3. Step 3: Cross multiply
    17,761.94x = 26,623.96 × 13,365.80
  4. Step 4: Simplify right side
    17,761.94x = 355,850,358.03
  5. Step 5: Solve for x
    x = 355,850,358.03/17,761.94
  6. Step 6: Final answer
    x = 20,034.44

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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.