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Finding the Fourth Proportional to 23,828.27, 35,738.06 and 9,032.31

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Solution

The fourth proportional to 23,828.27, 35,738.06 and 9,032.31 is: 13,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.27 : 35,738.06 = 9,032.31 : x
  2. Step 2: Convert to fraction form
    23,828.27/35,738.06 = 9,032.31/x
  3. Step 3: Cross multiply
    23,828.27x = 35,738.06 × 9,032.31
  4. Step 4: Simplify right side
    23,828.27x = 322,797,191.56
  5. Step 5: Solve for x
    x = 322,797,191.56/23,828.27
  6. Step 6: Final answer
    x = 13,546.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.