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Finding the Fourth Proportional to 20,843.66, 28,764.26 and 11,412.22

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Solution

The fourth proportional to 20,843.66, 28,764.26 and 11,412.22 is: 15,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.66 : 28,764.26 = 11,412.22 : x
  2. Step 2: Convert to fraction form
    20,843.66/28,764.26 = 11,412.22/x
  3. Step 3: Cross multiply
    20,843.66x = 28,764.26 × 11,412.22
  4. Step 4: Simplify right side
    20,843.66x = 328,264,063.26
  5. Step 5: Solve for x
    x = 328,264,063.26/20,843.66
  6. Step 6: Final answer
    x = 15,748.87

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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.