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Finding the Fourth Proportional to 23,805.42, 32,850.98 and 13,194.96

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Solution

The fourth proportional to 23,805.42, 32,850.98 and 13,194.96 is: 18,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.42 : 32,850.98 = 13,194.96 : x
  2. Step 2: Convert to fraction form
    23,805.42/32,850.98 = 13,194.96/x
  3. Step 3: Cross multiply
    23,805.42x = 32,850.98 × 13,194.96
  4. Step 4: Simplify right side
    23,805.42x = 433,467,301.09
  5. Step 5: Solve for x
    x = 433,467,301.09/23,805.42
  6. Step 6: Final answer
    x = 18,208.77

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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.