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Finding the Fourth Proportional to 13,458.75, 20,189.22 and 4,224.75

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Solution

The fourth proportional to 13,458.75, 20,189.22 and 4,224.75 is: 6,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.75 : 20,189.22 = 4,224.75 : x
  2. Step 2: Convert to fraction form
    13,458.75/20,189.22 = 4,224.75/x
  3. Step 3: Cross multiply
    13,458.75x = 20,189.22 × 4,224.75
  4. Step 4: Simplify right side
    13,458.75x = 85,294,407.20
  5. Step 5: Solve for x
    x = 85,294,407.20/13,458.75
  6. Step 6: Final answer
    x = 6,337.47

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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.