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Finding the Fourth Proportional to 20,782.84, 28,680.42 and 11,351.56

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Solution

The fourth proportional to 20,782.84, 28,680.42 and 11,351.56 is: 15,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.84 : 28,680.42 = 11,351.56 : x
  2. Step 2: Convert to fraction form
    20,782.84/28,680.42 = 11,351.56/x
  3. Step 3: Cross multiply
    20,782.84x = 28,680.42 × 11,351.56
  4. Step 4: Simplify right side
    20,782.84x = 325,567,508.46
  5. Step 5: Solve for x
    x = 325,567,508.46/20,782.84
  6. Step 6: Final answer
    x = 15,665.21

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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.