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Finding the Fourth Proportional to 12,375.99, 18,571.28 and 5,802.23

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Solution

The fourth proportional to 12,375.99, 18,571.28 and 5,802.23 is: 8,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.99 : 18,571.28 = 5,802.23 : x
  2. Step 2: Convert to fraction form
    12,375.99/18,571.28 = 5,802.23/x
  3. Step 3: Cross multiply
    12,375.99x = 18,571.28 × 5,802.23
  4. Step 4: Simplify right side
    12,375.99x = 107,754,855.37
  5. Step 5: Solve for x
    x = 107,754,855.37/12,375.99
  6. Step 6: Final answer
    x = 8,706.77

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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.