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Finding the Fourth Proportional to 13,940.16, 19,238.64 and 8,276.64

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Solution

The fourth proportional to 13,940.16, 19,238.64 and 8,276.64 is: 11,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.16 : 19,238.64 = 8,276.64 : x
  2. Step 2: Convert to fraction form
    13,940.16/19,238.64 = 8,276.64/x
  3. Step 3: Cross multiply
    13,940.16x = 19,238.64 × 8,276.64
  4. Step 4: Simplify right side
    13,940.16x = 159,231,297.37
  5. Step 5: Solve for x
    x = 159,231,297.37/13,940.16
  6. Step 6: Final answer
    x = 11,422.49

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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.