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Finding the Fourth Proportional to 13,674.01, 20,511.03 and 5,881

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Solution

The fourth proportional to 13,674.01, 20,511.03 and 5,881 is: 8,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.01 : 20,511.03 = 5,881 : x
  2. Step 2: Convert to fraction form
    13,674.01/20,511.03 = 5,881/x
  3. Step 3: Cross multiply
    13,674.01x = 20,511.03 × 5,881
  4. Step 4: Simplify right side
    13,674.01x = 120,625,367.43
  5. Step 5: Solve for x
    x = 120,625,367.43/13,674.01
  6. Step 6: Final answer
    x = 8,821.51

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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.