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Finding the Fourth Proportional to 20,835.83, 28,754.12 and 11,404.40

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Solution

The fourth proportional to 20,835.83, 28,754.12 and 11,404.40 is: 15,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.83 : 28,754.12 = 11,404.40 : x
  2. Step 2: Convert to fraction form
    20,835.83/28,754.12 = 11,404.40/x
  3. Step 3: Cross multiply
    20,835.83x = 28,754.12 × 11,404.40
  4. Step 4: Simplify right side
    20,835.83x = 327,923,370.87
  5. Step 5: Solve for x
    x = 327,923,370.87/20,835.83
  6. Step 6: Final answer
    x = 15,738.43

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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.