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Finding the Fourth Proportional to 12,022.49, 18,000.83 and 9,948.49

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Solution

The fourth proportional to 12,022.49, 18,000.83 and 9,948.49 is: 14,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.49 : 18,000.83 = 9,948.49 : x
  2. Step 2: Convert to fraction form
    12,022.49/18,000.83 = 9,948.49/x
  3. Step 3: Cross multiply
    12,022.49x = 18,000.83 × 9,948.49
  4. Step 4: Simplify right side
    12,022.49x = 179,081,057.12
  5. Step 5: Solve for x
    x = 179,081,057.12/12,022.49
  6. Step 6: Final answer
    x = 14,895.50

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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.