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Finding the Fourth Proportional to 12,846.56, 19,270.50 and 3,613.28

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Solution

The fourth proportional to 12,846.56, 19,270.50 and 3,613.28 is: 5,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.56 : 19,270.50 = 3,613.28 : x
  2. Step 2: Convert to fraction form
    12,846.56/19,270.50 = 3,613.28/x
  3. Step 3: Cross multiply
    12,846.56x = 19,270.50 × 3,613.28
  4. Step 4: Simplify right side
    12,846.56x = 69,629,712.24
  5. Step 5: Solve for x
    x = 69,629,712.24/12,846.56
  6. Step 6: Final answer
    x = 5,420.11

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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.