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Finding the Fourth Proportional to 20,364.86, 30,491.85 and 15,419.54

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Solution

The fourth proportional to 20,364.86, 30,491.85 and 15,419.54 is: 23,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.86 : 30,491.85 = 15,419.54 : x
  2. Step 2: Convert to fraction form
    20,364.86/30,491.85 = 15,419.54/x
  3. Step 3: Cross multiply
    20,364.86x = 30,491.85 × 15,419.54
  4. Step 4: Simplify right side
    20,364.86x = 470,170,300.75
  5. Step 5: Solve for x
    x = 470,170,300.75/20,364.86
  6. Step 6: Final answer
    x = 23,087.33

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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.