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Finding the Fourth Proportional to 13,753.62, 18,977.15 and 7,786.76

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Solution

The fourth proportional to 13,753.62, 18,977.15 and 7,786.76 is: 10,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.62 : 18,977.15 = 7,786.76 : x
  2. Step 2: Convert to fraction form
    13,753.62/18,977.15 = 7,786.76/x
  3. Step 3: Cross multiply
    13,753.62x = 18,977.15 × 7,786.76
  4. Step 4: Simplify right side
    13,753.62x = 147,770,437.12
  5. Step 5: Solve for x
    x = 147,770,437.12/13,753.62
  6. Step 6: Final answer
    x = 10,744.11

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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.