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Finding the Fourth Proportional to 23,906.39, 32,990.24 and 13,833.44

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Solution

The fourth proportional to 23,906.39, 32,990.24 and 13,833.44 is: 19,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.39 : 32,990.24 = 13,833.44 : x
  2. Step 2: Convert to fraction form
    23,906.39/32,990.24 = 13,833.44/x
  3. Step 3: Cross multiply
    23,906.39x = 32,990.24 × 13,833.44
  4. Step 4: Simplify right side
    23,906.39x = 456,368,271.51
  5. Step 5: Solve for x
    x = 456,368,271.51/23,906.39
  6. Step 6: Final answer
    x = 19,089.80

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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.