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Finding the Fourth Proportional to 13,676.34, 20,499.94 and 7,093.47

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Solution

The fourth proportional to 13,676.34, 20,499.94 and 7,093.47 is: 10,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.34 : 20,499.94 = 7,093.47 : x
  2. Step 2: Convert to fraction form
    13,676.34/20,499.94 = 7,093.47/x
  3. Step 3: Cross multiply
    13,676.34x = 20,499.94 × 7,093.47
  4. Step 4: Simplify right side
    13,676.34x = 145,415,755.23
  5. Step 5: Solve for x
    x = 145,415,755.23/13,676.34
  6. Step 6: Final answer
    x = 10,632.65

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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.