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Finding the Fourth Proportional to 18,549.49, 27,825.96 and 6,706.23

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Solution

The fourth proportional to 18,549.49, 27,825.96 and 6,706.23 is: 10,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.49 : 27,825.96 = 6,706.23 : x
  2. Step 2: Convert to fraction form
    18,549.49/27,825.96 = 6,706.23/x
  3. Step 3: Cross multiply
    18,549.49x = 27,825.96 × 6,706.23
  4. Step 4: Simplify right side
    18,549.49x = 186,607,151.95
  5. Step 5: Solve for x
    x = 186,607,151.95/18,549.49
  6. Step 6: Final answer
    x = 10,059.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.