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Finding the Fourth Proportional to 23,538.92, 35,305.30 and 10,388.22

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Solution

The fourth proportional to 23,538.92, 35,305.30 and 10,388.22 is: 15,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.92 : 35,305.30 = 10,388.22 : x
  2. Step 2: Convert to fraction form
    23,538.92/35,305.30 = 10,388.22/x
  3. Step 3: Cross multiply
    23,538.92x = 35,305.30 × 10,388.22
  4. Step 4: Simplify right side
    23,538.92x = 366,759,104.16
  5. Step 5: Solve for x
    x = 366,759,104.16/23,538.92
  6. Step 6: Final answer
    x = 15,580.97

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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.