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Finding the Fourth Proportional to 23,213.80, 34,820.70 and 19,714.60

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Solution

The fourth proportional to 23,213.80, 34,820.70 and 19,714.60 is: 29,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.80 : 34,820.70 = 19,714.60 : x
  2. Step 2: Convert to fraction form
    23,213.80/34,820.70 = 19,714.60/x
  3. Step 3: Cross multiply
    23,213.80x = 34,820.70 × 19,714.60
  4. Step 4: Simplify right side
    23,213.80x = 686,476,172.22
  5. Step 5: Solve for x
    x = 686,476,172.22/23,213.80
  6. Step 6: Final answer
    x = 29,571.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.