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Finding the Fourth Proportional to 13,384.29, 20,077.46 and 3,523.42

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Solution

The fourth proportional to 13,384.29, 20,077.46 and 3,523.42 is: 5,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.29 : 20,077.46 = 3,523.42 : x
  2. Step 2: Convert to fraction form
    13,384.29/20,077.46 = 3,523.42/x
  3. Step 3: Cross multiply
    13,384.29x = 20,077.46 × 3,523.42
  4. Step 4: Simplify right side
    13,384.29x = 70,741,324.11
  5. Step 5: Solve for x
    x = 70,741,324.11/13,384.29
  6. Step 6: Final answer
    x = 5,285.40

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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.