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Finding the Fourth Proportional to 18,564.98, 27,857.05 and 12,329.31

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Solution

The fourth proportional to 18,564.98, 27,857.05 and 12,329.31 is: 18,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.98 : 27,857.05 = 12,329.31 : x
  2. Step 2: Convert to fraction form
    18,564.98/27,857.05 = 12,329.31/x
  3. Step 3: Cross multiply
    18,564.98x = 27,857.05 × 12,329.31
  4. Step 4: Simplify right side
    18,564.98x = 343,458,174.31
  5. Step 5: Solve for x
    x = 343,458,174.31/18,564.98
  6. Step 6: Final answer
    x = 18,500.32

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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.