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Finding the Fourth Proportional to 12,629.84, 18,939 and 8,180.24

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Solution

The fourth proportional to 12,629.84, 18,939 and 8,180.24 is: 12,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.84 : 18,939 = 8,180.24 : x
  2. Step 2: Convert to fraction form
    12,629.84/18,939 = 8,180.24/x
  3. Step 3: Cross multiply
    12,629.84x = 18,939 × 8,180.24
  4. Step 4: Simplify right side
    12,629.84x = 154,925,565.36
  5. Step 5: Solve for x
    x = 154,925,565.36/12,629.84
  6. Step 6: Final answer
    x = 12,266.63

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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.