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Finding the Fourth Proportional to 13,908.16, 19,194.87 and 7,940.69

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Solution

The fourth proportional to 13,908.16, 19,194.87 and 7,940.69 is: 10,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.16 : 19,194.87 = 7,940.69 : x
  2. Step 2: Convert to fraction form
    13,908.16/19,194.87 = 7,940.69/x
  3. Step 3: Cross multiply
    13,908.16x = 19,194.87 × 7,940.69
  4. Step 4: Simplify right side
    13,908.16x = 152,420,512.26
  5. Step 5: Solve for x
    x = 152,420,512.26/13,908.16
  6. Step 6: Final answer
    x = 10,959.07

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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.