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Finding the Fourth Proportional to 23,804.57, 32,851.43 and 13,194.38

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Solution

The fourth proportional to 23,804.57, 32,851.43 and 13,194.38 is: 18,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.57 : 32,851.43 = 13,194.38 : x
  2. Step 2: Convert to fraction form
    23,804.57/32,851.43 = 13,194.38/x
  3. Step 3: Cross multiply
    23,804.57x = 32,851.43 × 13,194.38
  4. Step 4: Simplify right side
    23,804.57x = 433,454,020.73
  5. Step 5: Solve for x
    x = 433,454,020.73/23,804.57
  6. Step 6: Final answer
    x = 18,208.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.