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Finding the Fourth Proportional to 23,029.80, 31,740.12 and 19,834.80

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Solution

The fourth proportional to 23,029.80, 31,740.12 and 19,834.80 is: 27,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.80 : 31,740.12 = 19,834.80 : x
  2. Step 2: Convert to fraction form
    23,029.80/31,740.12 = 19,834.80/x
  3. Step 3: Cross multiply
    23,029.80x = 31,740.12 × 19,834.80
  4. Step 4: Simplify right side
    23,029.80x = 629,558,932.18
  5. Step 5: Solve for x
    x = 629,558,932.18/23,029.80
  6. Step 6: Final answer
    x = 27,336.71

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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.