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Finding the Fourth Proportional to 12,405.39, 18,610.13 and 5,748.54

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Solution

The fourth proportional to 12,405.39, 18,610.13 and 5,748.54 is: 8,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.39 : 18,610.13 = 5,748.54 : x
  2. Step 2: Convert to fraction form
    12,405.39/18,610.13 = 5,748.54/x
  3. Step 3: Cross multiply
    12,405.39x = 18,610.13 × 5,748.54
  4. Step 4: Simplify right side
    12,405.39x = 106,981,076.71
  5. Step 5: Solve for x
    x = 106,981,076.71/12,405.39
  6. Step 6: Final answer
    x = 8,623.76

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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.