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Finding the Fourth Proportional to 18,782.68, 25,920.12 and 10,399

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Solution

The fourth proportional to 18,782.68, 25,920.12 and 10,399 is: 14,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.68 : 25,920.12 = 10,399 : x
  2. Step 2: Convert to fraction form
    18,782.68/25,920.12 = 10,399/x
  3. Step 3: Cross multiply
    18,782.68x = 25,920.12 × 10,399
  4. Step 4: Simplify right side
    18,782.68x = 269,543,327.88
  5. Step 5: Solve for x
    x = 269,543,327.88/18,782.68
  6. Step 6: Final answer
    x = 14,350.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.