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Finding the Fourth Proportional to 13,910.14, 19,194.93 and 7,941

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Solution

The fourth proportional to 13,910.14, 19,194.93 and 7,941 is: 10,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.14 : 19,194.93 = 7,941 : x
  2. Step 2: Convert to fraction form
    13,910.14/19,194.93 = 7,941/x
  3. Step 3: Cross multiply
    13,910.14x = 19,194.93 × 7,941
  4. Step 4: Simplify right side
    13,910.14x = 152,426,939.13
  5. Step 5: Solve for x
    x = 152,426,939.13/13,910.14
  6. Step 6: Final answer
    x = 10,957.97

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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.