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Finding the Fourth Proportional to 23,805.50, 32,853.97 and 13,197.17

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Solution

The fourth proportional to 23,805.50, 32,853.97 and 13,197.17 is: 18,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.50 : 32,853.97 = 13,197.17 : x
  2. Step 2: Convert to fraction form
    23,805.50/32,853.97 = 13,197.17/x
  3. Step 3: Cross multiply
    23,805.50x = 32,853.97 × 13,197.17
  4. Step 4: Simplify right side
    23,805.50x = 433,579,525.90
  5. Step 5: Solve for x
    x = 433,579,525.90/23,805.50
  6. Step 6: Final answer
    x = 18,213.42

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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.