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Finding the Fourth Proportional to 23,152.82, 31,952.24 and 13,081

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Solution

The fourth proportional to 23,152.82, 31,952.24 and 13,081 is: 18,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.82 : 31,952.24 = 13,081 : x
  2. Step 2: Convert to fraction form
    23,152.82/31,952.24 = 13,081/x
  3. Step 3: Cross multiply
    23,152.82x = 31,952.24 × 13,081
  4. Step 4: Simplify right side
    23,152.82x = 417,967,251.44
  5. Step 5: Solve for x
    x = 417,967,251.44/23,152.82
  6. Step 6: Final answer
    x = 18,052.54

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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.