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Finding the Fourth Proportional to 12,634.47, 18,951.63 and 3,274.46

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Solution

The fourth proportional to 12,634.47, 18,951.63 and 3,274.46 is: 4,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.47 : 18,951.63 = 3,274.46 : x
  2. Step 2: Convert to fraction form
    12,634.47/18,951.63 = 3,274.46/x
  3. Step 3: Cross multiply
    12,634.47x = 18,951.63 × 3,274.46
  4. Step 4: Simplify right side
    12,634.47x = 62,056,354.37
  5. Step 5: Solve for x
    x = 62,056,354.37/12,634.47
  6. Step 6: Final answer
    x = 4,911.67

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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.