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Finding the Fourth Proportional to 12,137.81, 16,750.47 and 6,832.80

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Solution

The fourth proportional to 12,137.81, 16,750.47 and 6,832.80 is: 9,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.81 : 16,750.47 = 6,832.80 : x
  2. Step 2: Convert to fraction form
    12,137.81/16,750.47 = 6,832.80/x
  3. Step 3: Cross multiply
    12,137.81x = 16,750.47 × 6,832.80
  4. Step 4: Simplify right side
    12,137.81x = 114,452,611.42
  5. Step 5: Solve for x
    x = 114,452,611.42/12,137.81
  6. Step 6: Final answer
    x = 9,429.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.