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Finding the Fourth Proportional to 23,074.56, 31,843.02 and 13,003.16

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Solution

The fourth proportional to 23,074.56, 31,843.02 and 13,003.16 is: 17,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.56 : 31,843.02 = 13,003.16 : x
  2. Step 2: Convert to fraction form
    23,074.56/31,843.02 = 13,003.16/x
  3. Step 3: Cross multiply
    23,074.56x = 31,843.02 × 13,003.16
  4. Step 4: Simplify right side
    23,074.56x = 414,059,724.73
  5. Step 5: Solve for x
    x = 414,059,724.73/23,074.56
  6. Step 6: Final answer
    x = 17,944.43

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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.