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Finding the Fourth Proportional to 12,942.80, 19,414.20 and 4,178.40

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Solution

The fourth proportional to 12,942.80, 19,414.20 and 4,178.40 is: 6,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.80 : 19,414.20 = 4,178.40 : x
  2. Step 2: Convert to fraction form
    12,942.80/19,414.20 = 4,178.40/x
  3. Step 3: Cross multiply
    12,942.80x = 19,414.20 × 4,178.40
  4. Step 4: Simplify right side
    12,942.80x = 81,120,293.28
  5. Step 5: Solve for x
    x = 81,120,293.28/12,942.80
  6. Step 6: Final answer
    x = 6,267.60

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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.