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Finding the Fourth Proportional to 20,454.89, 30,678.89 and 5,665.30

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Solution

The fourth proportional to 20,454.89, 30,678.89 and 5,665.30 is: 8,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.89 : 30,678.89 = 5,665.30 : x
  2. Step 2: Convert to fraction form
    20,454.89/30,678.89 = 5,665.30/x
  3. Step 3: Cross multiply
    20,454.89x = 30,678.89 × 5,665.30
  4. Step 4: Simplify right side
    20,454.89x = 173,805,010.49
  5. Step 5: Solve for x
    x = 173,805,010.49/20,454.89
  6. Step 6: Final answer
    x = 8,496.99

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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.