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Finding the Fourth Proportional to 23,033.44, 31,814.80 and 17,791.84

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Solution

The fourth proportional to 23,033.44, 31,814.80 and 17,791.84 is: 24,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.44 : 31,814.80 = 17,791.84 : x
  2. Step 2: Convert to fraction form
    23,033.44/31,814.80 = 17,791.84/x
  3. Step 3: Cross multiply
    23,033.44x = 31,814.80 × 17,791.84
  4. Step 4: Simplify right side
    23,033.44x = 566,043,831.23
  5. Step 5: Solve for x
    x = 566,043,831.23/23,033.44
  6. Step 6: Final answer
    x = 24,574.87

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