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Finding the Fourth Proportional to 20,539.76, 30,802.44 and 5,744.70

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Solution

The fourth proportional to 20,539.76, 30,802.44 and 5,744.70 is: 8,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.76 : 30,802.44 = 5,744.70 : x
  2. Step 2: Convert to fraction form
    20,539.76/30,802.44 = 5,744.70/x
  3. Step 3: Cross multiply
    20,539.76x = 30,802.44 × 5,744.70
  4. Step 4: Simplify right side
    20,539.76x = 176,950,777.07
  5. Step 5: Solve for x
    x = 176,950,777.07/20,539.76
  6. Step 6: Final answer
    x = 8,615.04

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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.