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Finding the Fourth Proportional to 18,933.16, 28,399.02 and 7,837

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Solution

The fourth proportional to 18,933.16, 28,399.02 and 7,837 is: 11,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.16 : 28,399.02 = 7,837 : x
  2. Step 2: Convert to fraction form
    18,933.16/28,399.02 = 7,837/x
  3. Step 3: Cross multiply
    18,933.16x = 28,399.02 × 7,837
  4. Step 4: Simplify right side
    18,933.16x = 222,563,119.74
  5. Step 5: Solve for x
    x = 222,563,119.74/18,933.16
  6. Step 6: Final answer
    x = 11,755.20

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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.