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Finding the Fourth Proportional to 12,975, 19,464.92 and 4,208.77

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Solution

The fourth proportional to 12,975, 19,464.92 and 4,208.77 is: 6,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975 : 19,464.92 = 4,208.77 : x
  2. Step 2: Convert to fraction form
    12,975/19,464.92 = 4,208.77/x
  3. Step 3: Cross multiply
    12,975x = 19,464.92 × 4,208.77
  4. Step 4: Simplify right side
    12,975x = 81,923,371.35
  5. Step 5: Solve for x
    x = 81,923,371.35/12,975
  6. Step 6: Final answer
    x = 6,313.94

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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.