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Finding the Fourth Proportional to 18,400, 27,604.32 and 6,088

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Solution

The fourth proportional to 18,400, 27,604.32 and 6,088 is: 9,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 27,604.32 = 6,088 : x
  2. Step 2: Convert to fraction form
    18,400/27,604.32 = 6,088/x
  3. Step 3: Cross multiply
    18,400x = 27,604.32 × 6,088
  4. Step 4: Simplify right side
    18,400x = 168,055,100.16
  5. Step 5: Solve for x
    x = 168,055,100.16/18,400
  6. Step 6: Final answer
    x = 9,133.43

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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.