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Finding the Fourth Proportional to 12,711.84, 19,067.78 and 3,477.84

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Solution

The fourth proportional to 12,711.84, 19,067.78 and 3,477.84 is: 5,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.84 : 19,067.78 = 3,477.84 : x
  2. Step 2: Convert to fraction form
    12,711.84/19,067.78 = 3,477.84/x
  3. Step 3: Cross multiply
    12,711.84x = 19,067.78 × 3,477.84
  4. Step 4: Simplify right side
    12,711.84x = 66,314,670.61
  5. Step 5: Solve for x
    x = 66,314,670.61/12,711.84
  6. Step 6: Final answer
    x = 5,216.76

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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.