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Finding the Fourth Proportional to 21,122.64, 29,119.20 and 14,399.64

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Solution

The fourth proportional to 21,122.64, 29,119.20 and 14,399.64 is: 19,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.64 : 29,119.20 = 14,399.64 : x
  2. Step 2: Convert to fraction form
    21,122.64/29,119.20 = 14,399.64/x
  3. Step 3: Cross multiply
    21,122.64x = 29,119.20 × 14,399.64
  4. Step 4: Simplify right side
    21,122.64x = 419,305,997.09
  5. Step 5: Solve for x
    x = 419,305,997.09/21,122.64
  6. Step 6: Final answer
    x = 19,851.02

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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.