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Finding the Fourth Proportional to 23,805.26, 32,847.80 and 13,194.88

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Solution

The fourth proportional to 23,805.26, 32,847.80 and 13,194.88 is: 18,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.26 : 32,847.80 = 13,194.88 : x
  2. Step 2: Convert to fraction form
    23,805.26/32,847.80 = 13,194.88/x
  3. Step 3: Cross multiply
    23,805.26x = 32,847.80 × 13,194.88
  4. Step 4: Simplify right side
    23,805.26x = 433,422,779.26
  5. Step 5: Solve for x
    x = 433,422,779.26/23,805.26
  6. Step 6: Final answer
    x = 18,207.02

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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.