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Finding the Fourth Proportional to 12,176.30, 16,797.94 and 7,137.96

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Solution

The fourth proportional to 12,176.30, 16,797.94 and 7,137.96 is: 9,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.30 : 16,797.94 = 7,137.96 : x
  2. Step 2: Convert to fraction form
    12,176.30/16,797.94 = 7,137.96/x
  3. Step 3: Cross multiply
    12,176.30x = 16,797.94 × 7,137.96
  4. Step 4: Simplify right side
    12,176.30x = 119,903,023.80
  5. Step 5: Solve for x
    x = 119,903,023.80/12,176.30
  6. Step 6: Final answer
    x = 9,847.25

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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.