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Finding the Fourth Proportional to 23,714.94, 32,727.03 and 13,104.65

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Solution

The fourth proportional to 23,714.94, 32,727.03 and 13,104.65 is: 18,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.94 : 32,727.03 = 13,104.65 : x
  2. Step 2: Convert to fraction form
    23,714.94/32,727.03 = 13,104.65/x
  3. Step 3: Cross multiply
    23,714.94x = 32,727.03 × 13,104.65
  4. Step 4: Simplify right side
    23,714.94x = 428,876,273.69
  5. Step 5: Solve for x
    x = 428,876,273.69/23,714.94
  6. Step 6: Final answer
    x = 18,084.65

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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.