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Finding the Fourth Proportional to 20,843.68, 28,763.95 and 11,412.24

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Solution

The fourth proportional to 20,843.68, 28,763.95 and 11,412.24 is: 15,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.68 : 28,763.95 = 11,412.24 : x
  2. Step 2: Convert to fraction form
    20,843.68/28,763.95 = 11,412.24/x
  3. Step 3: Cross multiply
    20,843.68x = 28,763.95 × 11,412.24
  4. Step 4: Simplify right side
    20,843.68x = 328,261,100.75
  5. Step 5: Solve for x
    x = 328,261,100.75/20,843.68
  6. Step 6: Final answer
    x = 15,748.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.