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Finding the Fourth Proportional to 23,422.02, 35,136.54 and 7,836

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Solution

The fourth proportional to 23,422.02, 35,136.54 and 7,836 is: 11,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.02 : 35,136.54 = 7,836 : x
  2. Step 2: Convert to fraction form
    23,422.02/35,136.54 = 7,836/x
  3. Step 3: Cross multiply
    23,422.02x = 35,136.54 × 7,836
  4. Step 4: Simplify right side
    23,422.02x = 275,329,927.44
  5. Step 5: Solve for x
    x = 275,329,927.44/23,422.02
  6. Step 6: Final answer
    x = 11,755.17

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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.