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Finding the Fourth Proportional to 13,841, 20,761.68 and 4,607

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Solution

The fourth proportional to 13,841, 20,761.68 and 4,607 is: 6,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841 : 20,761.68 = 4,607 : x
  2. Step 2: Convert to fraction form
    13,841/20,761.68 = 4,607/x
  3. Step 3: Cross multiply
    13,841x = 20,761.68 × 4,607
  4. Step 4: Simplify right side
    13,841x = 95,649,059.76
  5. Step 5: Solve for x
    x = 95,649,059.76/13,841
  6. Step 6: Final answer
    x = 6,910.56

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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.