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Finding the Fourth Proportional to 12,716.60, 19,076.94 and 6,143.28

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Solution

The fourth proportional to 12,716.60, 19,076.94 and 6,143.28 is: 9,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.60 : 19,076.94 = 6,143.28 : x
  2. Step 2: Convert to fraction form
    12,716.60/19,076.94 = 6,143.28/x
  3. Step 3: Cross multiply
    12,716.60x = 19,076.94 × 6,143.28
  4. Step 4: Simplify right side
    12,716.60x = 117,194,983.96
  5. Step 5: Solve for x
    x = 117,194,983.96/12,716.60
  6. Step 6: Final answer
    x = 9,215.91

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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.