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Finding the Fourth Proportional to 20,420.92, 28,178.64 and 11,469.40

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Solution

The fourth proportional to 20,420.92, 28,178.64 and 11,469.40 is: 15,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.92 : 28,178.64 = 11,469.40 : x
  2. Step 2: Convert to fraction form
    20,420.92/28,178.64 = 11,469.40/x
  3. Step 3: Cross multiply
    20,420.92x = 28,178.64 × 11,469.40
  4. Step 4: Simplify right side
    20,420.92x = 323,192,093.62
  5. Step 5: Solve for x
    x = 323,192,093.62/20,420.92
  6. Step 6: Final answer
    x = 15,826.52

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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.