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Finding the Fourth Proportional to 13,741.77, 18,963.65 and 7,773.31

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Solution

The fourth proportional to 13,741.77, 18,963.65 and 7,773.31 is: 10,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.77 : 18,963.65 = 7,773.31 : x
  2. Step 2: Convert to fraction form
    13,741.77/18,963.65 = 7,773.31/x
  3. Step 3: Cross multiply
    13,741.77x = 18,963.65 × 7,773.31
  4. Step 4: Simplify right side
    13,741.77x = 147,410,329.59
  5. Step 5: Solve for x
    x = 147,410,329.59/13,741.77
  6. Step 6: Final answer
    x = 10,727.17

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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.