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Finding the Fourth Proportional to 20,546.37, 28,353.92 and 11,114.93

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Solution

The fourth proportional to 20,546.37, 28,353.92 and 11,114.93 is: 15,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.37 : 28,353.92 = 11,114.93 : x
  2. Step 2: Convert to fraction form
    20,546.37/28,353.92 = 11,114.93/x
  3. Step 3: Cross multiply
    20,546.37x = 28,353.92 × 11,114.93
  4. Step 4: Simplify right side
    20,546.37x = 315,151,851.34
  5. Step 5: Solve for x
    x = 315,151,851.34/20,546.37
  6. Step 6: Final answer
    x = 15,338.57

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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.