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Finding the Fourth Proportional to 13,710.87, 18,930.21 and 12,769.14

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Solution

The fourth proportional to 13,710.87, 18,930.21 and 12,769.14 is: 17,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.87 : 18,930.21 = 12,769.14 : x
  2. Step 2: Convert to fraction form
    13,710.87/18,930.21 = 12,769.14/x
  3. Step 3: Cross multiply
    13,710.87x = 18,930.21 × 12,769.14
  4. Step 4: Simplify right side
    13,710.87x = 241,722,524.82
  5. Step 5: Solve for x
    x = 241,722,524.82/13,710.87
  6. Step 6: Final answer
    x = 17,629.99

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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.