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Finding the Fourth Proportional to 20,836.50, 28,754.64 and 11,404.86

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Solution

The fourth proportional to 20,836.50, 28,754.64 and 11,404.86 is: 15,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.50 : 28,754.64 = 11,404.86 : x
  2. Step 2: Convert to fraction form
    20,836.50/28,754.64 = 11,404.86/x
  3. Step 3: Cross multiply
    20,836.50x = 28,754.64 × 11,404.86
  4. Step 4: Simplify right side
    20,836.50x = 327,942,643.55
  5. Step 5: Solve for x
    x = 327,942,643.55/20,836.50
  6. Step 6: Final answer
    x = 15,738.85

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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.