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Finding the Fourth Proportional to 13,197.20, 19,774.20 and 11,253.20

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Solution

The fourth proportional to 13,197.20, 19,774.20 and 11,253.20 is: 16,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.20 : 19,774.20 = 11,253.20 : x
  2. Step 2: Convert to fraction form
    13,197.20/19,774.20 = 11,253.20/x
  3. Step 3: Cross multiply
    13,197.20x = 19,774.20 × 11,253.20
  4. Step 4: Simplify right side
    13,197.20x = 222,523,027.44
  5. Step 5: Solve for x
    x = 222,523,027.44/13,197.20
  6. Step 6: Final answer
    x = 16,861.38

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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.