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Finding the Fourth Proportional to 20,851.84, 28,775.20 and 11,902.12

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Solution

The fourth proportional to 20,851.84, 28,775.20 and 11,902.12 is: 16,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.84 : 28,775.20 = 11,902.12 : x
  2. Step 2: Convert to fraction form
    20,851.84/28,775.20 = 11,902.12/x
  3. Step 3: Cross multiply
    20,851.84x = 28,775.20 × 11,902.12
  4. Step 4: Simplify right side
    20,851.84x = 342,485,883.42
  5. Step 5: Solve for x
    x = 342,485,883.42/20,851.84
  6. Step 6: Final answer
    x = 16,424.73

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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.