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Finding the Fourth Proportional to 12,305.10, 18,474.64 and 6,767.12

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Solution

The fourth proportional to 12,305.10, 18,474.64 and 6,767.12 is: 10,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.10 : 18,474.64 = 6,767.12 : x
  2. Step 2: Convert to fraction form
    12,305.10/18,474.64 = 6,767.12/x
  3. Step 3: Cross multiply
    12,305.10x = 18,474.64 × 6,767.12
  4. Step 4: Simplify right side
    12,305.10x = 125,020,105.84
  5. Step 5: Solve for x
    x = 125,020,105.84/12,305.10
  6. Step 6: Final answer
    x = 10,160.02

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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.