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Finding the Fourth Proportional to 20,902.96, 28,844.94 and 11,470.78

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Solution

The fourth proportional to 20,902.96, 28,844.94 and 11,470.78 is: 15,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.96 : 28,844.94 = 11,470.78 : x
  2. Step 2: Convert to fraction form
    20,902.96/28,844.94 = 11,470.78/x
  3. Step 3: Cross multiply
    20,902.96x = 28,844.94 × 11,470.78
  4. Step 4: Simplify right side
    20,902.96x = 330,873,960.85
  5. Step 5: Solve for x
    x = 330,873,960.85/20,902.96
  6. Step 6: Final answer
    x = 15,829.05

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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.