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Finding the Fourth Proportional to 18,923.96, 28,389.28 and 7,824.43

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Solution

The fourth proportional to 18,923.96, 28,389.28 and 7,824.43 is: 11,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923.96 : 28,389.28 = 7,824.43 : x
  2. Step 2: Convert to fraction form
    18,923.96/28,389.28 = 7,824.43/x
  3. Step 3: Cross multiply
    18,923.96x = 28,389.28 × 7,824.43
  4. Step 4: Simplify right side
    18,923.96x = 222,129,934.11
  5. Step 5: Solve for x
    x = 222,129,934.11/18,923.96
  6. Step 6: Final answer
    x = 11,738.03

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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.