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Finding the Fourth Proportional to 23,705.26, 32,712.05 and 13,092.84

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Solution

The fourth proportional to 23,705.26, 32,712.05 and 13,092.84 is: 18,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.26 : 32,712.05 = 13,092.84 : x
  2. Step 2: Convert to fraction form
    23,705.26/32,712.05 = 13,092.84/x
  3. Step 3: Cross multiply
    23,705.26x = 32,712.05 × 13,092.84
  4. Step 4: Simplify right side
    23,705.26x = 428,293,669.45
  5. Step 5: Solve for x
    x = 428,293,669.45/23,705.26
  6. Step 6: Final answer
    x = 18,067.45

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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.