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Finding the Fourth Proportional to 18,645.94, 27,965.86 and 5,495.24

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Solution

The fourth proportional to 18,645.94, 27,965.86 and 5,495.24 is: 8,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.94 : 27,965.86 = 5,495.24 : x
  2. Step 2: Convert to fraction form
    18,645.94/27,965.86 = 5,495.24/x
  3. Step 3: Cross multiply
    18,645.94x = 27,965.86 × 5,495.24
  4. Step 4: Simplify right side
    18,645.94x = 153,679,112.51
  5. Step 5: Solve for x
    x = 153,679,112.51/18,645.94
  6. Step 6: Final answer
    x = 8,241.96

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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.