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Finding the Fourth Proportional to 18,585.29, 27,877.94 and 8,204.33

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Solution

The fourth proportional to 18,585.29, 27,877.94 and 8,204.33 is: 12,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.29 : 27,877.94 = 8,204.33 : x
  2. Step 2: Convert to fraction form
    18,585.29/27,877.94 = 8,204.33/x
  3. Step 3: Cross multiply
    18,585.29x = 27,877.94 × 8,204.33
  4. Step 4: Simplify right side
    18,585.29x = 228,719,819.48
  5. Step 5: Solve for x
    x = 228,719,819.48/18,585.29
  6. Step 6: Final answer
    x = 12,306.50

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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.