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Finding the Fourth Proportional to 16,252.50, 24,378.75 and 3,940.50

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Solution

The fourth proportional to 16,252.50, 24,378.75 and 3,940.50 is: 5,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.50 : 24,378.75 = 3,940.50 : x
  2. Step 2: Convert to fraction form
    16,252.50/24,378.75 = 3,940.50/x
  3. Step 3: Cross multiply
    16,252.50x = 24,378.75 × 3,940.50
  4. Step 4: Simplify right side
    16,252.50x = 96,064,464.38
  5. Step 5: Solve for x
    x = 96,064,464.38/16,252.50
  6. Step 6: Final answer
    x = 5,910.75

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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.