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Finding the Fourth Proportional to 20,894.41, 28,834.74 and 11,462.97

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Solution

The fourth proportional to 20,894.41, 28,834.74 and 11,462.97 is: 15,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.41 : 28,834.74 = 11,462.97 : x
  2. Step 2: Convert to fraction form
    20,894.41/28,834.74 = 11,462.97/x
  3. Step 3: Cross multiply
    20,894.41x = 28,834.74 × 11,462.97
  4. Step 4: Simplify right side
    20,894.41x = 330,531,759.58
  5. Step 5: Solve for x
    x = 330,531,759.58/20,894.41
  6. Step 6: Final answer
    x = 15,819.15

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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.