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Finding the Fourth Proportional to 18,548.18, 27,823.38 and 6,069.50

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Solution

The fourth proportional to 18,548.18, 27,823.38 and 6,069.50 is: 9,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.18 : 27,823.38 = 6,069.50 : x
  2. Step 2: Convert to fraction form
    18,548.18/27,823.38 = 6,069.50/x
  3. Step 3: Cross multiply
    18,548.18x = 27,823.38 × 6,069.50
  4. Step 4: Simplify right side
    18,548.18x = 168,874,004.91
  5. Step 5: Solve for x
    x = 168,874,004.91/18,548.18
  6. Step 6: Final answer
    x = 9,104.61

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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.