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Finding the Fourth Proportional to 23,906.32, 32,992.72 and 13,297.94

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Solution

The fourth proportional to 23,906.32, 32,992.72 and 13,297.94 is: 18,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.32 : 32,992.72 = 13,297.94 : x
  2. Step 2: Convert to fraction form
    23,906.32/32,992.72 = 13,297.94/x
  3. Step 3: Cross multiply
    23,906.32x = 32,992.72 × 13,297.94
  4. Step 4: Simplify right side
    23,906.32x = 438,735,211.00
  5. Step 5: Solve for x
    x = 438,735,211.00/23,906.32
  6. Step 6: Final answer
    x = 18,352.27

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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.