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Finding the Fourth Proportional to 23,254.70, 32,091.14 and 12,644.24

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Solution

The fourth proportional to 23,254.70, 32,091.14 and 12,644.24 is: 17,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.70 : 32,091.14 = 12,644.24 : x
  2. Step 2: Convert to fraction form
    23,254.70/32,091.14 = 12,644.24/x
  3. Step 3: Cross multiply
    23,254.70x = 32,091.14 × 12,644.24
  4. Step 4: Simplify right side
    23,254.70x = 405,768,076.03
  5. Step 5: Solve for x
    x = 405,768,076.03/23,254.70
  6. Step 6: Final answer
    x = 17,448.86

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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.