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Finding the Fourth Proportional to 13,735.36, 20,602.08 and 3,874.24

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Solution

The fourth proportional to 13,735.36, 20,602.08 and 3,874.24 is: 5,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.36 : 20,602.08 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    13,735.36/20,602.08 = 3,874.24/x
  3. Step 3: Cross multiply
    13,735.36x = 20,602.08 × 3,874.24
  4. Step 4: Simplify right side
    13,735.36x = 79,817,402.42
  5. Step 5: Solve for x
    x = 79,817,402.42/13,735.36
  6. Step 6: Final answer
    x = 5,811.09

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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.