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Finding the Fourth Proportional to 19,682.28, 27,143.82 and 12,965.46

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Solution

The fourth proportional to 19,682.28, 27,143.82 and 12,965.46 is: 17,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.28 : 27,143.82 = 12,965.46 : x
  2. Step 2: Convert to fraction form
    19,682.28/27,143.82 = 12,965.46/x
  3. Step 3: Cross multiply
    19,682.28x = 27,143.82 × 12,965.46
  4. Step 4: Simplify right side
    19,682.28x = 351,932,112.46
  5. Step 5: Solve for x
    x = 351,932,112.46/19,682.28
  6. Step 6: Final answer
    x = 17,880.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.