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Finding the Fourth Proportional to 23,833.33, 32,893.92 and 13,226.38

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Solution

The fourth proportional to 23,833.33, 32,893.92 and 13,226.38 is: 18,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.33 : 32,893.92 = 13,226.38 : x
  2. Step 2: Convert to fraction form
    23,833.33/32,893.92 = 13,226.38/x
  3. Step 3: Cross multiply
    23,833.33x = 32,893.92 × 13,226.38
  4. Step 4: Simplify right side
    23,833.33x = 435,067,485.61
  5. Step 5: Solve for x
    x = 435,067,485.61/23,833.33
  6. Step 6: Final answer
    x = 18,254.58

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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.