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Finding the Fourth Proportional to 18,058.50, 27,086.94 and 7,524.18

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Solution

The fourth proportional to 18,058.50, 27,086.94 and 7,524.18 is: 11,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058.50 : 27,086.94 = 7,524.18 : x
  2. Step 2: Convert to fraction form
    18,058.50/27,086.94 = 7,524.18/x
  3. Step 3: Cross multiply
    18,058.50x = 27,086.94 × 7,524.18
  4. Step 4: Simplify right side
    18,058.50x = 203,807,012.21
  5. Step 5: Solve for x
    x = 203,807,012.21/18,058.50
  6. Step 6: Final answer
    x = 11,285.93

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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.