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Finding the Fourth Proportional to 18,236.50, 27,365.51 and 7,705.84

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Solution

The fourth proportional to 18,236.50, 27,365.51 and 7,705.84 is: 11,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236.50 : 27,365.51 = 7,705.84 : x
  2. Step 2: Convert to fraction form
    18,236.50/27,365.51 = 7,705.84/x
  3. Step 3: Cross multiply
    18,236.50x = 27,365.51 × 7,705.84
  4. Step 4: Simplify right side
    18,236.50x = 210,874,241.58
  5. Step 5: Solve for x
    x = 210,874,241.58/18,236.50
  6. Step 6: Final answer
    x = 11,563.31

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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.