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Finding the Fourth Proportional to 18,557.14, 27,770 and 11,540.45

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Solution

The fourth proportional to 18,557.14, 27,770 and 11,540.45 is: 17,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.14 : 27,770 = 11,540.45 : x
  2. Step 2: Convert to fraction form
    18,557.14/27,770 = 11,540.45/x
  3. Step 3: Cross multiply
    18,557.14x = 27,770 × 11,540.45
  4. Step 4: Simplify right side
    18,557.14x = 320,478,296.50
  5. Step 5: Solve for x
    x = 320,478,296.50/18,557.14
  6. Step 6: Final answer
    x = 17,269.81

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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.