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Finding the Fourth Proportional to 20,878.72, 28,812.78 and 11,447.44

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Solution

The fourth proportional to 20,878.72, 28,812.78 and 11,447.44 is: 15,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.72 : 28,812.78 = 11,447.44 : x
  2. Step 2: Convert to fraction form
    20,878.72/28,812.78 = 11,447.44/x
  3. Step 3: Cross multiply
    20,878.72x = 28,812.78 × 11,447.44
  4. Step 4: Simplify right side
    20,878.72x = 329,832,570.28
  5. Step 5: Solve for x
    x = 329,832,570.28/20,878.72
  6. Step 6: Final answer
    x = 15,797.55

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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.