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Finding the Fourth Proportional to 18,549, 27,823.50 and 6,237

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Solution

The fourth proportional to 18,549, 27,823.50 and 6,237 is: 9,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 27,823.50 = 6,237 : x
  2. Step 2: Convert to fraction form
    18,549/27,823.50 = 6,237/x
  3. Step 3: Cross multiply
    18,549x = 27,823.50 × 6,237
  4. Step 4: Simplify right side
    18,549x = 173,535,169.50
  5. Step 5: Solve for x
    x = 173,535,169.50/18,549
  6. Step 6: Final answer
    x = 9,355.50

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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.