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Finding the Fourth Proportional to 13,694.94, 20,533.14 and 5,369.76

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Solution

The fourth proportional to 13,694.94, 20,533.14 and 5,369.76 is: 8,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.94 : 20,533.14 = 5,369.76 : x
  2. Step 2: Convert to fraction form
    13,694.94/20,533.14 = 5,369.76/x
  3. Step 3: Cross multiply
    13,694.94x = 20,533.14 × 5,369.76
  4. Step 4: Simplify right side
    13,694.94x = 110,258,033.85
  5. Step 5: Solve for x
    x = 110,258,033.85/13,694.94
  6. Step 6: Final answer
    x = 8,051.01

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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.