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Finding the Fourth Proportional to 13,213.82, 18,235.62 and 7,245.71

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Solution

The fourth proportional to 13,213.82, 18,235.62 and 7,245.71 is: 9,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.82 : 18,235.62 = 7,245.71 : x
  2. Step 2: Convert to fraction form
    13,213.82/18,235.62 = 7,245.71/x
  3. Step 3: Cross multiply
    13,213.82x = 18,235.62 × 7,245.71
  4. Step 4: Simplify right side
    13,213.82x = 132,129,977.96
  5. Step 5: Solve for x
    x = 132,129,977.96/13,213.82
  6. Step 6: Final answer
    x = 9,999.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.