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Finding the Fourth Proportional to 23,776.42, 35,664.58 and 7,136.42

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Solution

The fourth proportional to 23,776.42, 35,664.58 and 7,136.42 is: 10,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.42 : 35,664.58 = 7,136.42 : x
  2. Step 2: Convert to fraction form
    23,776.42/35,664.58 = 7,136.42/x
  3. Step 3: Cross multiply
    23,776.42x = 35,664.58 × 7,136.42
  4. Step 4: Simplify right side
    23,776.42x = 254,517,422.00
  5. Step 5: Solve for x
    x = 254,517,422.00/23,776.42
  6. Step 6: Final answer
    x = 10,704.61

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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.