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Finding the Fourth Proportional to 13,890, 20,834.96 and 3,502.56

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Solution

The fourth proportional to 13,890, 20,834.96 and 3,502.56 is: 5,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 20,834.96 = 3,502.56 : x
  2. Step 2: Convert to fraction form
    13,890/20,834.96 = 3,502.56/x
  3. Step 3: Cross multiply
    13,890x = 20,834.96 × 3,502.56
  4. Step 4: Simplify right side
    13,890x = 72,975,697.50
  5. Step 5: Solve for x
    x = 72,975,697.50/13,890
  6. Step 6: Final answer
    x = 5,253.83

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Why These Related Problems?

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