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Finding the Fourth Proportional to 12,137.80, 16,750.48 and 6,832.81

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Solution

The fourth proportional to 12,137.80, 16,750.48 and 6,832.81 is: 9,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.80 : 16,750.48 = 6,832.81 : x
  2. Step 2: Convert to fraction form
    12,137.80/16,750.48 = 6,832.81/x
  3. Step 3: Cross multiply
    12,137.80x = 16,750.48 × 6,832.81
  4. Step 4: Simplify right side
    12,137.80x = 114,452,847.25
  5. Step 5: Solve for x
    x = 114,452,847.25/12,137.80
  6. Step 6: Final answer
    x = 9,429.46

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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.