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Finding the Fourth Proportional to 23,020.43, 31,768.02 and 13,084.43

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Solution

The fourth proportional to 23,020.43, 31,768.02 and 13,084.43 is: 18,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.43 : 31,768.02 = 13,084.43 : x
  2. Step 2: Convert to fraction form
    23,020.43/31,768.02 = 13,084.43/x
  3. Step 3: Cross multiply
    23,020.43x = 31,768.02 × 13,084.43
  4. Step 4: Simplify right side
    23,020.43x = 415,666,433.93
  5. Step 5: Solve for x
    x = 415,666,433.93/23,020.43
  6. Step 6: Final answer
    x = 18,056.41

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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.