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Finding the Fourth Proportional to 13,227.25, 19,824.47 and 7,299.11

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Solution

The fourth proportional to 13,227.25, 19,824.47 and 7,299.11 is: 10,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.25 : 19,824.47 = 7,299.11 : x
  2. Step 2: Convert to fraction form
    13,227.25/19,824.47 = 7,299.11/x
  3. Step 3: Cross multiply
    13,227.25x = 19,824.47 × 7,299.11
  4. Step 4: Simplify right side
    13,227.25x = 144,701,048.19
  5. Step 5: Solve for x
    x = 144,701,048.19/13,227.25
  6. Step 6: Final answer
    x = 10,939.62

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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.