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Finding the Fourth Proportional to 12,940.25, 19,406.25 and 4,173.12

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Solution

The fourth proportional to 12,940.25, 19,406.25 and 4,173.12 is: 6,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.25 : 19,406.25 = 4,173.12 : x
  2. Step 2: Convert to fraction form
    12,940.25/19,406.25 = 4,173.12/x
  3. Step 3: Cross multiply
    12,940.25x = 19,406.25 × 4,173.12
  4. Step 4: Simplify right side
    12,940.25x = 80,984,610
  5. Step 5: Solve for x
    x = 80,984,610/12,940.25
  6. Step 6: Final answer
    x = 6,258.35

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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.