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Finding the Fourth Proportional to 23,454.22, 32,369.02 and 12,845.46

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Solution

The fourth proportional to 23,454.22, 32,369.02 and 12,845.46 is: 17,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.22 : 32,369.02 = 12,845.46 : x
  2. Step 2: Convert to fraction form
    23,454.22/32,369.02 = 12,845.46/x
  3. Step 3: Cross multiply
    23,454.22x = 32,369.02 × 12,845.46
  4. Step 4: Simplify right side
    23,454.22x = 415,794,951.65
  5. Step 5: Solve for x
    x = 415,794,951.65/23,454.22
  6. Step 6: Final answer
    x = 17,727.94

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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.