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Finding the Fourth Proportional to 20,744.76, 31,099.50 and 9,657.87

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Solution

The fourth proportional to 20,744.76, 31,099.50 and 9,657.87 is: 14,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.76 : 31,099.50 = 9,657.87 : x
  2. Step 2: Convert to fraction form
    20,744.76/31,099.50 = 9,657.87/x
  3. Step 3: Cross multiply
    20,744.76x = 31,099.50 × 9,657.87
  4. Step 4: Simplify right side
    20,744.76x = 300,354,928.07
  5. Step 5: Solve for x
    x = 300,354,928.07/20,744.76
  6. Step 6: Final answer
    x = 14,478.59

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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.