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Finding the Fourth Proportional to 13,561, 20,339.10 and 6,163.72

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Solution

The fourth proportional to 13,561, 20,339.10 and 6,163.72 is: 9,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561 : 20,339.10 = 6,163.72 : x
  2. Step 2: Convert to fraction form
    13,561/20,339.10 = 6,163.72/x
  3. Step 3: Cross multiply
    13,561x = 20,339.10 × 6,163.72
  4. Step 4: Simplify right side
    13,561x = 125,364,517.45
  5. Step 5: Solve for x
    x = 125,364,517.45/13,561
  6. Step 6: Final answer
    x = 9,244.49

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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.