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Finding the Fourth Proportional to 20,420.30, 28,180.70 and 11,469.39

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Solution

The fourth proportional to 20,420.30, 28,180.70 and 11,469.39 is: 15,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.30 : 28,180.70 = 11,469.39 : x
  2. Step 2: Convert to fraction form
    20,420.30/28,180.70 = 11,469.39/x
  3. Step 3: Cross multiply
    20,420.30x = 28,180.70 × 11,469.39
  4. Step 4: Simplify right side
    20,420.30x = 323,215,381.43
  5. Step 5: Solve for x
    x = 323,215,381.43/20,420.30
  6. Step 6: Final answer
    x = 15,828.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.