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Finding the Fourth Proportional to 20,851.91, 28,775.97 and 11,419.86

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Solution

The fourth proportional to 20,851.91, 28,775.97 and 11,419.86 is: 15,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.91 : 28,775.97 = 11,419.86 : x
  2. Step 2: Convert to fraction form
    20,851.91/28,775.97 = 11,419.86/x
  3. Step 3: Cross multiply
    20,851.91x = 28,775.97 × 11,419.86
  4. Step 4: Simplify right side
    20,851.91x = 328,617,548.76
  5. Step 5: Solve for x
    x = 328,617,548.76/20,851.91
  6. Step 6: Final answer
    x = 15,759.59

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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.