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Finding the Fourth Proportional to 23,714.67, 32,725.78 and 13,104.07

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Solution

The fourth proportional to 23,714.67, 32,725.78 and 13,104.07 is: 18,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.67 : 32,725.78 = 13,104.07 : x
  2. Step 2: Convert to fraction form
    23,714.67/32,725.78 = 13,104.07/x
  3. Step 3: Cross multiply
    23,714.67x = 32,725.78 × 13,104.07
  4. Step 4: Simplify right side
    23,714.67x = 428,840,911.92
  5. Step 5: Solve for x
    x = 428,840,911.92/23,714.67
  6. Step 6: Final answer
    x = 18,083.36

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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.