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Finding the Fourth Proportional to 20,424.38, 30,638.46 and 7,945.34

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Solution

The fourth proportional to 20,424.38, 30,638.46 and 7,945.34 is: 11,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.38 : 30,638.46 = 7,945.34 : x
  2. Step 2: Convert to fraction form
    20,424.38/30,638.46 = 7,945.34/x
  3. Step 3: Cross multiply
    20,424.38x = 30,638.46 × 7,945.34
  4. Step 4: Simplify right side
    20,424.38x = 243,432,981.78
  5. Step 5: Solve for x
    x = 243,432,981.78/20,424.38
  6. Step 6: Final answer
    x = 11,918.75

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