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Finding the Fourth Proportional to 15,946.20, 23,912.82 and 7,178.76

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Solution

The fourth proportional to 15,946.20, 23,912.82 and 7,178.76 is: 10,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.20 : 23,912.82 = 7,178.76 : x
  2. Step 2: Convert to fraction form
    15,946.20/23,912.82 = 7,178.76/x
  3. Step 3: Cross multiply
    15,946.20x = 23,912.82 × 7,178.76
  4. Step 4: Simplify right side
    15,946.20x = 171,664,395.70
  5. Step 5: Solve for x
    x = 171,664,395.70/15,946.20
  6. Step 6: Final answer
    x = 10,765.22

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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.