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Finding the Fourth Proportional to 23,143.66, 31,938.35 and 13,072.22

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Solution

The fourth proportional to 23,143.66, 31,938.35 and 13,072.22 is: 18,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.66 : 31,938.35 = 13,072.22 : x
  2. Step 2: Convert to fraction form
    23,143.66/31,938.35 = 13,072.22/x
  3. Step 3: Cross multiply
    23,143.66x = 31,938.35 × 13,072.22
  4. Step 4: Simplify right side
    23,143.66x = 417,504,912.58
  5. Step 5: Solve for x
    x = 417,504,912.58/23,143.66
  6. Step 6: Final answer
    x = 18,039.71

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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.