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Finding the Fourth Proportional to 18,378.68, 25,361.82 and 10,420.74

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Solution

The fourth proportional to 18,378.68, 25,361.82 and 10,420.74 is: 14,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.68 : 25,361.82 = 10,420.74 : x
  2. Step 2: Convert to fraction form
    18,378.68/25,361.82 = 10,420.74/x
  3. Step 3: Cross multiply
    18,378.68x = 25,361.82 × 10,420.74
  4. Step 4: Simplify right side
    18,378.68x = 264,288,932.15
  5. Step 5: Solve for x
    x = 264,288,932.15/18,378.68
  6. Step 6: Final answer
    x = 14,380.19

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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.