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Finding the Fourth Proportional to 13,483.63, 20,229.36 and 5,584.69

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Solution

The fourth proportional to 13,483.63, 20,229.36 and 5,584.69 is: 8,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.63 : 20,229.36 = 5,584.69 : x
  2. Step 2: Convert to fraction form
    13,483.63/20,229.36 = 5,584.69/x
  3. Step 3: Cross multiply
    13,483.63x = 20,229.36 × 5,584.69
  4. Step 4: Simplify right side
    13,483.63x = 112,974,704.50
  5. Step 5: Solve for x
    x = 112,974,704.50/13,483.63
  6. Step 6: Final answer
    x = 8,378.66

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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.