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Finding the Fourth Proportional to 13,743.77, 18,966.41 and 7,775.31

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Solution

The fourth proportional to 13,743.77, 18,966.41 and 7,775.31 is: 10,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.77 : 18,966.41 = 7,775.31 : x
  2. Step 2: Convert to fraction form
    13,743.77/18,966.41 = 7,775.31/x
  3. Step 3: Cross multiply
    13,743.77x = 18,966.41 × 7,775.31
  4. Step 4: Simplify right side
    13,743.77x = 147,469,717.34
  5. Step 5: Solve for x
    x = 147,469,717.34/13,743.77
  6. Step 6: Final answer
    x = 10,729.93

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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.