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Finding the Fourth Proportional to 12,181.46, 16,813.91 and 7,145.89

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Solution

The fourth proportional to 12,181.46, 16,813.91 and 7,145.89 is: 9,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.46 : 16,813.91 = 7,145.89 : x
  2. Step 2: Convert to fraction form
    12,181.46/16,813.91 = 7,145.89/x
  3. Step 3: Cross multiply
    12,181.46x = 16,813.91 × 7,145.89
  4. Step 4: Simplify right side
    12,181.46x = 120,150,327.16
  5. Step 5: Solve for x
    x = 120,150,327.16/12,181.46
  6. Step 6: Final answer
    x = 9,863.38

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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.