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Finding the Fourth Proportional to 13,494.30, 20,209.05 and 10,902.30

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Solution

The fourth proportional to 13,494.30, 20,209.05 and 10,902.30 is: 16,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.30 : 20,209.05 = 10,902.30 : x
  2. Step 2: Convert to fraction form
    13,494.30/20,209.05 = 10,902.30/x
  3. Step 3: Cross multiply
    13,494.30x = 20,209.05 × 10,902.30
  4. Step 4: Simplify right side
    13,494.30x = 220,325,125.82
  5. Step 5: Solve for x
    x = 220,325,125.82/13,494.30
  6. Step 6: Final answer
    x = 16,327.27

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1.5x scale

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.