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Finding the Fourth Proportional to 12,405.17, 18,607.80 and 6,163.71

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Solution

The fourth proportional to 12,405.17, 18,607.80 and 6,163.71 is: 9,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.17 : 18,607.80 = 6,163.71 : x
  2. Step 2: Convert to fraction form
    12,405.17/18,607.80 = 6,163.71/x
  3. Step 3: Cross multiply
    12,405.17x = 18,607.80 × 6,163.71
  4. Step 4: Simplify right side
    12,405.17x = 114,693,082.94
  5. Step 5: Solve for x
    x = 114,693,082.94/12,405.17
  6. Step 6: Final answer
    x = 9,245.59

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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.