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Finding the Fourth Proportional to 11,899.69, 17,850.54 and 3,134.63

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Solution

The fourth proportional to 11,899.69, 17,850.54 and 3,134.63 is: 4,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.69 : 17,850.54 = 3,134.63 : x
  2. Step 2: Convert to fraction form
    11,899.69/17,850.54 = 3,134.63/x
  3. Step 3: Cross multiply
    11,899.69x = 17,850.54 × 3,134.63
  4. Step 4: Simplify right side
    11,899.69x = 55,954,894.58
  5. Step 5: Solve for x
    x = 55,954,894.58/11,899.69
  6. Step 6: Final answer
    x = 4,702.22

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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.