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Finding the Fourth Proportional to 20,274.14, 27,978.33 and 11,321.63

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Solution

The fourth proportional to 20,274.14, 27,978.33 and 11,321.63 is: 15,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.14 : 27,978.33 = 11,321.63 : x
  2. Step 2: Convert to fraction form
    20,274.14/27,978.33 = 11,321.63/x
  3. Step 3: Cross multiply
    20,274.14x = 27,978.33 × 11,321.63
  4. Step 4: Simplify right side
    20,274.14x = 316,760,300.28
  5. Step 5: Solve for x
    x = 316,760,300.28/20,274.14
  6. Step 6: Final answer
    x = 15,623.86

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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.