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Finding the Fourth Proportional to 11,284.84, 16,850.08 and 9,181.08

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Solution

The fourth proportional to 11,284.84, 16,850.08 and 9,181.08 is: 13,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.84 : 16,850.08 = 9,181.08 : x
  2. Step 2: Convert to fraction form
    11,284.84/16,850.08 = 9,181.08/x
  3. Step 3: Cross multiply
    11,284.84x = 16,850.08 × 9,181.08
  4. Step 4: Simplify right side
    11,284.84x = 154,701,932.49
  5. Step 5: Solve for x
    x = 154,701,932.49/11,284.84
  6. Step 6: Final answer
    x = 13,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.