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Finding the Fourth Proportional to 23,093.57, 31,866.42 and 13,021.41

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Solution

The fourth proportional to 23,093.57, 31,866.42 and 13,021.41 is: 17,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093.57 : 31,866.42 = 13,021.41 : x
  2. Step 2: Convert to fraction form
    23,093.57/31,866.42 = 13,021.41/x
  3. Step 3: Cross multiply
    23,093.57x = 31,866.42 × 13,021.41
  4. Step 4: Simplify right side
    23,093.57x = 414,945,687.50
  5. Step 5: Solve for x
    x = 414,945,687.50/23,093.57
  6. Step 6: Final answer
    x = 17,968.02

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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.