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Finding the Fourth Proportional to 12,880.14, 17,778.90 and 7,847.64

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Solution

The fourth proportional to 12,880.14, 17,778.90 and 7,847.64 is: 10,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.14 : 17,778.90 = 7,847.64 : x
  2. Step 2: Convert to fraction form
    12,880.14/17,778.90 = 7,847.64/x
  3. Step 3: Cross multiply
    12,880.14x = 17,778.90 × 7,847.64
  4. Step 4: Simplify right side
    12,880.14x = 139,522,406.80
  5. Step 5: Solve for x
    x = 139,522,406.80/12,880.14
  6. Step 6: Final answer
    x = 10,832.37

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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.