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Finding the Fourth Proportional to 13,534.94, 20,303.53 and 3,674.27

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Solution

The fourth proportional to 13,534.94, 20,303.53 and 3,674.27 is: 5,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.94 : 20,303.53 = 3,674.27 : x
  2. Step 2: Convert to fraction form
    13,534.94/20,303.53 = 3,674.27/x
  3. Step 3: Cross multiply
    13,534.94x = 20,303.53 × 3,674.27
  4. Step 4: Simplify right side
    13,534.94x = 74,600,692.75
  5. Step 5: Solve for x
    x = 74,600,692.75/13,534.94
  6. Step 6: Final answer
    x = 5,511.71

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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.