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Finding the Fourth Proportional to 23,897.28, 35,771.94 and 20,354.34

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Solution

The fourth proportional to 23,897.28, 35,771.94 and 20,354.34 is: 30,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.28 : 35,771.94 = 20,354.34 : x
  2. Step 2: Convert to fraction form
    23,897.28/35,771.94 = 20,354.34/x
  3. Step 3: Cross multiply
    23,897.28x = 35,771.94 × 20,354.34
  4. Step 4: Simplify right side
    23,897.28x = 728,114,229.22
  5. Step 5: Solve for x
    x = 728,114,229.22/23,897.28
  6. Step 6: Final answer
    x = 30,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.