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Finding the Fourth Proportional to 18,409.54, 27,614.32 and 4,558.54

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Solution

The fourth proportional to 18,409.54, 27,614.32 and 4,558.54 is: 6,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.54 : 27,614.32 = 4,558.54 : x
  2. Step 2: Convert to fraction form
    18,409.54/27,614.32 = 4,558.54/x
  3. Step 3: Cross multiply
    18,409.54x = 27,614.32 × 4,558.54
  4. Step 4: Simplify right side
    18,409.54x = 125,880,982.29
  5. Step 5: Solve for x
    x = 125,880,982.29/18,409.54
  6. Step 6: Final answer
    x = 6,837.81

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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.