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Finding the Fourth Proportional to 23,794.90, 32,836.93 and 13,185.22

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Solution

The fourth proportional to 23,794.90, 32,836.93 and 13,185.22 is: 18,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.90 : 32,836.93 = 13,185.22 : x
  2. Step 2: Convert to fraction form
    23,794.90/32,836.93 = 13,185.22/x
  3. Step 3: Cross multiply
    23,794.90x = 32,836.93 × 13,185.22
  4. Step 4: Simplify right side
    23,794.90x = 432,962,146.17
  5. Step 5: Solve for x
    x = 432,962,146.17/23,794.90
  6. Step 6: Final answer
    x = 18,195.59

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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.