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Finding the Fourth Proportional to 13,525.80, 20,261.70 and 11,902.20

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Solution

The fourth proportional to 13,525.80, 20,261.70 and 11,902.20 is: 17,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.80 : 20,261.70 = 11,902.20 : x
  2. Step 2: Convert to fraction form
    13,525.80/20,261.70 = 11,902.20/x
  3. Step 3: Cross multiply
    13,525.80x = 20,261.70 × 11,902.20
  4. Step 4: Simplify right side
    13,525.80x = 241,158,805.74
  5. Step 5: Solve for x
    x = 241,158,805.74/13,525.80
  6. Step 6: Final answer
    x = 17,829.54

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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.