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Finding the Fourth Proportional to 13,182.60, 19,768.14 and 3,946.44

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Solution

The fourth proportional to 13,182.60, 19,768.14 and 3,946.44 is: 5,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.60 : 19,768.14 = 3,946.44 : x
  2. Step 2: Convert to fraction form
    13,182.60/19,768.14 = 3,946.44/x
  3. Step 3: Cross multiply
    13,182.60x = 19,768.14 × 3,946.44
  4. Step 4: Simplify right side
    13,182.60x = 78,013,778.42
  5. Step 5: Solve for x
    x = 78,013,778.42/13,182.60
  6. Step 6: Final answer
    x = 5,917.94

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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.