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Finding the Fourth Proportional to 12,119.12, 16,722.96 and 6,813.64

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Solution

The fourth proportional to 12,119.12, 16,722.96 and 6,813.64 is: 9,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.12 : 16,722.96 = 6,813.64 : x
  2. Step 2: Convert to fraction form
    12,119.12/16,722.96 = 6,813.64/x
  3. Step 3: Cross multiply
    12,119.12x = 16,722.96 × 6,813.64
  4. Step 4: Simplify right side
    12,119.12x = 113,944,229.17
  5. Step 5: Solve for x
    x = 113,944,229.17/12,119.12
  6. Step 6: Final answer
    x = 9,402.02

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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.