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Finding the Fourth Proportional to 14,592, 20,136.96 and 7,968

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Solution

The fourth proportional to 14,592, 20,136.96 and 7,968 is: 10,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592 : 20,136.96 = 7,968 : x
  2. Step 2: Convert to fraction form
    14,592/20,136.96 = 7,968/x
  3. Step 3: Cross multiply
    14,592x = 20,136.96 × 7,968
  4. Step 4: Simplify right side
    14,592x = 160,451,297.28
  5. Step 5: Solve for x
    x = 160,451,297.28/14,592
  6. Step 6: Final answer
    x = 10,995.84

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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.