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Finding the Fourth Proportional to 18,371, 27,556.50 and 6,059

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Solution

The fourth proportional to 18,371, 27,556.50 and 6,059 is: 9,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,371 : 27,556.50 = 6,059 : x
  2. Step 2: Convert to fraction form
    18,371/27,556.50 = 6,059/x
  3. Step 3: Cross multiply
    18,371x = 27,556.50 × 6,059
  4. Step 4: Simplify right side
    18,371x = 166,964,833.50
  5. Step 5: Solve for x
    x = 166,964,833.50/18,371
  6. Step 6: Final answer
    x = 9,088.50

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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.