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Finding the Fourth Proportional to 13,573.89, 20,362.05 and 3,713.22

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Solution

The fourth proportional to 13,573.89, 20,362.05 and 3,713.22 is: 5,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.89 : 20,362.05 = 3,713.22 : x
  2. Step 2: Convert to fraction form
    13,573.89/20,362.05 = 3,713.22/x
  3. Step 3: Cross multiply
    13,573.89x = 20,362.05 × 3,713.22
  4. Step 4: Simplify right side
    13,573.89x = 75,608,771.30
  5. Step 5: Solve for x
    x = 75,608,771.30/13,573.89
  6. Step 6: Final answer
    x = 5,570.16

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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.