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Finding the Fourth Proportional to 13,977.14, 20,959.06 and 5,086.16

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Solution

The fourth proportional to 13,977.14, 20,959.06 and 5,086.16 is: 7,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.14 : 20,959.06 = 5,086.16 : x
  2. Step 2: Convert to fraction form
    13,977.14/20,959.06 = 5,086.16/x
  3. Step 3: Cross multiply
    13,977.14x = 20,959.06 × 5,086.16
  4. Step 4: Simplify right side
    13,977.14x = 106,601,132.61
  5. Step 5: Solve for x
    x = 106,601,132.61/13,977.14
  6. Step 6: Final answer
    x = 7,626.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.