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Finding the Fourth Proportional to 12,629.34, 18,944 and 5,231.82

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Solution

The fourth proportional to 12,629.34, 18,944 and 5,231.82 is: 7,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.34 : 18,944 = 5,231.82 : x
  2. Step 2: Convert to fraction form
    12,629.34/18,944 = 5,231.82/x
  3. Step 3: Cross multiply
    12,629.34x = 18,944 × 5,231.82
  4. Step 4: Simplify right side
    12,629.34x = 99,111,598.08
  5. Step 5: Solve for x
    x = 99,111,598.08/12,629.34
  6. Step 6: Final answer
    x = 7,847.73

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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.