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Finding the Fourth Proportional to 14,796.26, 20,416.13 and 8,422.48

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Solution

The fourth proportional to 14,796.26, 20,416.13 and 8,422.48 is: 11,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.26 : 20,416.13 = 8,422.48 : x
  2. Step 2: Convert to fraction form
    14,796.26/20,416.13 = 8,422.48/x
  3. Step 3: Cross multiply
    14,796.26x = 20,416.13 × 8,422.48
  4. Step 4: Simplify right side
    14,796.26x = 171,954,446.60
  5. Step 5: Solve for x
    x = 171,954,446.60/14,796.26
  6. Step 6: Final answer
    x = 11,621.48

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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.