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Finding the Fourth Proportional to 18,369, 27,553.50 and 6,057

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Solution

The fourth proportional to 18,369, 27,553.50 and 6,057 is: 9,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,369 : 27,553.50 = 6,057 : x
  2. Step 2: Convert to fraction form
    18,369/27,553.50 = 6,057/x
  3. Step 3: Cross multiply
    18,369x = 27,553.50 × 6,057
  4. Step 4: Simplify right side
    18,369x = 166,891,549.50
  5. Step 5: Solve for x
    x = 166,891,549.50/18,369
  6. Step 6: Final answer
    x = 9,085.50

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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.