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Finding the Fourth Proportional to 20,783.25, 28,680.89 and 11,351.81

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Solution

The fourth proportional to 20,783.25, 28,680.89 and 11,351.81 is: 15,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 28,680.89 = 11,351.81 : x
  2. Step 2: Convert to fraction form
    20,783.25/28,680.89 = 11,351.81/x
  3. Step 3: Cross multiply
    20,783.25x = 28,680.89 × 11,351.81
  4. Step 4: Simplify right side
    20,783.25x = 325,580,028.85
  5. Step 5: Solve for x
    x = 325,580,028.85/20,783.25
  6. Step 6: Final answer
    x = 15,665.50

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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.