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Finding the Fourth Proportional to 13,804.20, 20,704.01 and 5,483.66

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Solution

The fourth proportional to 13,804.20, 20,704.01 and 5,483.66 is: 8,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.20 : 20,704.01 = 5,483.66 : x
  2. Step 2: Convert to fraction form
    13,804.20/20,704.01 = 5,483.66/x
  3. Step 3: Cross multiply
    13,804.20x = 20,704.01 × 5,483.66
  4. Step 4: Simplify right side
    13,804.20x = 113,533,620.54
  5. Step 5: Solve for x
    x = 113,533,620.54/13,804.20
  6. Step 6: Final answer
    x = 8,224.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.