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Finding the Fourth Proportional to 17,449.76, 24,078.48 and 11,796.80

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Solution

The fourth proportional to 17,449.76, 24,078.48 and 11,796.80 is: 16,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.76 : 24,078.48 = 11,796.80 : x
  2. Step 2: Convert to fraction form
    17,449.76/24,078.48 = 11,796.80/x
  3. Step 3: Cross multiply
    17,449.76x = 24,078.48 × 11,796.80
  4. Step 4: Simplify right side
    17,449.76x = 284,049,012.86
  5. Step 5: Solve for x
    x = 284,049,012.86/17,449.76
  6. Step 6: Final answer
    x = 16,278.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.