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Finding the Fourth Proportional to 12,197.60, 18,334.80 and 11,967.20

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Solution

The fourth proportional to 12,197.60, 18,334.80 and 11,967.20 is: 17,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.60 : 18,334.80 = 11,967.20 : x
  2. Step 2: Convert to fraction form
    12,197.60/18,334.80 = 11,967.20/x
  3. Step 3: Cross multiply
    12,197.60x = 18,334.80 × 11,967.20
  4. Step 4: Simplify right side
    12,197.60x = 219,416,218.56
  5. Step 5: Solve for x
    x = 219,416,218.56/12,197.60
  6. Step 6: Final answer
    x = 17,988.47

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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.