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Finding the Fourth Proportional to 18,556.13, 27,834.80 and 6,076.87

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Solution

The fourth proportional to 18,556.13, 27,834.80 and 6,076.87 is: 9,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,556.13 : 27,834.80 = 6,076.87 : x
  2. Step 2: Convert to fraction form
    18,556.13/27,834.80 = 6,076.87/x
  3. Step 3: Cross multiply
    18,556.13x = 27,834.80 × 6,076.87
  4. Step 4: Simplify right side
    18,556.13x = 169,148,461.08
  5. Step 5: Solve for x
    x = 169,148,461.08/18,556.13
  6. Step 6: Final answer
    x = 9,115.50

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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.