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Finding the Fourth Proportional to 13,141.80, 19,694.70 and 8,447.40

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Solution

The fourth proportional to 13,141.80, 19,694.70 and 8,447.40 is: 12,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.80 : 19,694.70 = 8,447.40 : x
  2. Step 2: Convert to fraction form
    13,141.80/19,694.70 = 8,447.40/x
  3. Step 3: Cross multiply
    13,141.80x = 19,694.70 × 8,447.40
  4. Step 4: Simplify right side
    13,141.80x = 166,369,008.78
  5. Step 5: Solve for x
    x = 166,369,008.78/13,141.80
  6. Step 6: Final answer
    x = 12,659.53

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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.