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Finding the Fourth Proportional to 12,309.30, 18,483.42 and 9,723.78

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Solution

The fourth proportional to 12,309.30, 18,483.42 and 9,723.78 is: 14,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.30 : 18,483.42 = 9,723.78 : x
  2. Step 2: Convert to fraction form
    12,309.30/18,483.42 = 9,723.78/x
  3. Step 3: Cross multiply
    12,309.30x = 18,483.42 × 9,723.78
  4. Step 4: Simplify right side
    12,309.30x = 179,728,709.73
  5. Step 5: Solve for x
    x = 179,728,709.73/12,309.30
  6. Step 6: Final answer
    x = 14,601.05

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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.