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Finding the Fourth Proportional to 20,539.78, 30,809.97 and 5,748.98

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Solution

The fourth proportional to 20,539.78, 30,809.97 and 5,748.98 is: 8,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.78 : 30,809.97 = 5,748.98 : x
  2. Step 2: Convert to fraction form
    20,539.78/30,809.97 = 5,748.98/x
  3. Step 3: Cross multiply
    20,539.78x = 30,809.97 × 5,748.98
  4. Step 4: Simplify right side
    20,539.78x = 177,125,747.28
  5. Step 5: Solve for x
    x = 177,125,747.28/20,539.78
  6. Step 6: Final answer
    x = 8,623.55

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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.