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Finding the Fourth Proportional to 18,549.42, 27,825.84 and 6,069.50

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Solution

The fourth proportional to 18,549.42, 27,825.84 and 6,069.50 is: 9,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.42 : 27,825.84 = 6,069.50 : x
  2. Step 2: Convert to fraction form
    18,549.42/27,825.84 = 6,069.50/x
  3. Step 3: Cross multiply
    18,549.42x = 27,825.84 × 6,069.50
  4. Step 4: Simplify right side
    18,549.42x = 168,888,935.88
  5. Step 5: Solve for x
    x = 168,888,935.88/18,549.42
  6. Step 6: Final answer
    x = 9,104.81

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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.