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Finding the Fourth Proportional to 18,197, 27,295.50 and 5,885

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Solution

The fourth proportional to 18,197, 27,295.50 and 5,885 is: 8,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197 : 27,295.50 = 5,885 : x
  2. Step 2: Convert to fraction form
    18,197/27,295.50 = 5,885/x
  3. Step 3: Cross multiply
    18,197x = 27,295.50 × 5,885
  4. Step 4: Simplify right side
    18,197x = 160,634,017.50
  5. Step 5: Solve for x
    x = 160,634,017.50/18,197
  6. Step 6: Final answer
    x = 8,827.50

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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.