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Finding the Fourth Proportional to 16,378.48, 24,578.24 and 16,318

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Solution

The fourth proportional to 16,378.48, 24,578.24 and 16,318 is: 24,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.48 : 24,578.24 = 16,318 : x
  2. Step 2: Convert to fraction form
    16,378.48/24,578.24 = 16,318/x
  3. Step 3: Cross multiply
    16,378.48x = 24,578.24 × 16,318
  4. Step 4: Simplify right side
    16,378.48x = 401,067,720.32
  5. Step 5: Solve for x
    x = 401,067,720.32/16,378.48
  6. Step 6: Final answer
    x = 24,487.48

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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.