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Finding the Fourth Proportional to 23,452.47, 32,364.77 and 12,843.09

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Solution

The fourth proportional to 23,452.47, 32,364.77 and 12,843.09 is: 17,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.47 : 32,364.77 = 12,843.09 : x
  2. Step 2: Convert to fraction form
    23,452.47/32,364.77 = 12,843.09/x
  3. Step 3: Cross multiply
    23,452.47x = 32,364.77 × 12,843.09
  4. Step 4: Simplify right side
    23,452.47x = 415,663,589.72
  5. Step 5: Solve for x
    x = 415,663,589.72/23,452.47
  6. Step 6: Final answer
    x = 17,723.66

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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.