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Finding the Fourth Proportional to 20,406.78, 28,161.41 and 11,454.30

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Solution

The fourth proportional to 20,406.78, 28,161.41 and 11,454.30 is: 15,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.78 : 28,161.41 = 11,454.30 : x
  2. Step 2: Convert to fraction form
    20,406.78/28,161.41 = 11,454.30/x
  3. Step 3: Cross multiply
    20,406.78x = 28,161.41 × 11,454.30
  4. Step 4: Simplify right side
    20,406.78x = 322,569,181.29
  5. Step 5: Solve for x
    x = 322,569,181.29/20,406.78
  6. Step 6: Final answer
    x = 15,806.96

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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.