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Finding the Fourth Proportional to 24,147.60, 36,163.80 and 11,821.20

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Solution

The fourth proportional to 24,147.60, 36,163.80 and 11,821.20 is: 17,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.60 : 36,163.80 = 11,821.20 : x
  2. Step 2: Convert to fraction form
    24,147.60/36,163.80 = 11,821.20/x
  3. Step 3: Cross multiply
    24,147.60x = 36,163.80 × 11,821.20
  4. Step 4: Simplify right side
    24,147.60x = 427,499,512.56
  5. Step 5: Solve for x
    x = 427,499,512.56/24,147.60
  6. Step 6: Final answer
    x = 17,703.60

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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.