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Finding the Fourth Proportional to 12,628.10, 18,942.16 and 3,865.70

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Solution

The fourth proportional to 12,628.10, 18,942.16 and 3,865.70 is: 5,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.10 : 18,942.16 = 3,865.70 : x
  2. Step 2: Convert to fraction form
    12,628.10/18,942.16 = 3,865.70/x
  3. Step 3: Cross multiply
    12,628.10x = 18,942.16 × 3,865.70
  4. Step 4: Simplify right side
    12,628.10x = 73,224,707.91
  5. Step 5: Solve for x
    x = 73,224,707.91/12,628.10
  6. Step 6: Final answer
    x = 5,798.55

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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.