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Finding the Fourth Proportional to 20,843.42, 28,764.65 and 11,412.05

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Solution

The fourth proportional to 20,843.42, 28,764.65 and 11,412.05 is: 15,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.42 : 28,764.65 = 11,412.05 : x
  2. Step 2: Convert to fraction form
    20,843.42/28,764.65 = 11,412.05/x
  3. Step 3: Cross multiply
    20,843.42x = 28,764.65 × 11,412.05
  4. Step 4: Simplify right side
    20,843.42x = 328,263,566.97
  5. Step 5: Solve for x
    x = 328,263,566.97/20,843.42
  6. Step 6: Final answer
    x = 15,749.03

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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.