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Finding the Fourth Proportional to 12,716.64, 19,079.08 and 6,143.56

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Solution

The fourth proportional to 12,716.64, 19,079.08 and 6,143.56 is: 9,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.64 : 19,079.08 = 6,143.56 : x
  2. Step 2: Convert to fraction form
    12,716.64/19,079.08 = 6,143.56/x
  3. Step 3: Cross multiply
    12,716.64x = 19,079.08 × 6,143.56
  4. Step 4: Simplify right side
    12,716.64x = 117,213,472.72
  5. Step 5: Solve for x
    x = 117,213,472.72/12,716.64
  6. Step 6: Final answer
    x = 9,217.33

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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.