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Finding the Fourth Proportional to 23,912, 35,880.96 and 11,600

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Solution

The fourth proportional to 23,912, 35,880.96 and 11,600 is: 17,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912 : 35,880.96 = 11,600 : x
  2. Step 2: Convert to fraction form
    23,912/35,880.96 = 11,600/x
  3. Step 3: Cross multiply
    23,912x = 35,880.96 × 11,600
  4. Step 4: Simplify right side
    23,912x = 416,219,136
  5. Step 5: Solve for x
    x = 416,219,136/23,912
  6. Step 6: Final answer
    x = 17,406.29

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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.