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Finding the Fourth Proportional to 27,422.64, 37,843.43 and 14,847.39

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Solution

The fourth proportional to 27,422.64, 37,843.43 and 14,847.39 is: 20,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.64 : 37,843.43 = 14,847.39 : x
  2. Step 2: Convert to fraction form
    27,422.64/37,843.43 = 14,847.39/x
  3. Step 3: Cross multiply
    27,422.64x = 37,843.43 × 14,847.39
  4. Step 4: Simplify right side
    27,422.64x = 561,876,089.91
  5. Step 5: Solve for x
    x = 561,876,089.91/27,422.64
  6. Step 6: Final answer
    x = 20,489.50

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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.