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Finding the Fourth Proportional to 18,201.84, 27,302.76 and 5,054.33

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Solution

The fourth proportional to 18,201.84, 27,302.76 and 5,054.33 is: 7,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.84 : 27,302.76 = 5,054.33 : x
  2. Step 2: Convert to fraction form
    18,201.84/27,302.76 = 5,054.33/x
  3. Step 3: Cross multiply
    18,201.84x = 27,302.76 × 5,054.33
  4. Step 4: Simplify right side
    18,201.84x = 137,997,022.44
  5. Step 5: Solve for x
    x = 137,997,022.44/18,201.84
  6. Step 6: Final answer
    x = 7,581.49

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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.