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Finding the Fourth Proportional to 13,756.12, 18,980.28 and 7,786.49

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Solution

The fourth proportional to 13,756.12, 18,980.28 and 7,786.49 is: 10,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.12 : 18,980.28 = 7,786.49 : x
  2. Step 2: Convert to fraction form
    13,756.12/18,980.28 = 7,786.49/x
  3. Step 3: Cross multiply
    13,756.12x = 18,980.28 × 7,786.49
  4. Step 4: Simplify right side
    13,756.12x = 147,789,665.52
  5. Step 5: Solve for x
    x = 147,789,665.52/13,756.12
  6. Step 6: Final answer
    x = 10,743.56

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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.