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Finding the Fourth Proportional to 20,942.80, 28,900.74 and 11,511.16

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Solution

The fourth proportional to 20,942.80, 28,900.74 and 11,511.16 is: 15,885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.80 : 28,900.74 = 11,511.16 : x
  2. Step 2: Convert to fraction form
    20,942.80/28,900.74 = 11,511.16/x
  3. Step 3: Cross multiply
    20,942.80x = 28,900.74 × 11,511.16
  4. Step 4: Simplify right side
    20,942.80x = 332,681,042.26
  5. Step 5: Solve for x
    x = 332,681,042.26/20,942.80
  6. Step 6: Final answer
    x = 15,885.22

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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.