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Finding the Fourth Proportional to 18,305, 27,457.74 and 5,993

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Solution

The fourth proportional to 18,305, 27,457.74 and 5,993 is: 8,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305 : 27,457.74 = 5,993 : x
  2. Step 2: Convert to fraction form
    18,305/27,457.74 = 5,993/x
  3. Step 3: Cross multiply
    18,305x = 27,457.74 × 5,993
  4. Step 4: Simplify right side
    18,305x = 164,554,235.82
  5. Step 5: Solve for x
    x = 164,554,235.82/18,305
  6. Step 6: Final answer
    x = 8,989.58

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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.