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Finding the Fourth Proportional to 12,339.71, 18,498.36 and 6,409.67

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Solution

The fourth proportional to 12,339.71, 18,498.36 and 6,409.67 is: 9,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.71 : 18,498.36 = 6,409.67 : x
  2. Step 2: Convert to fraction form
    12,339.71/18,498.36 = 6,409.67/x
  3. Step 3: Cross multiply
    12,339.71x = 18,498.36 × 6,409.67
  4. Step 4: Simplify right side
    12,339.71x = 118,568,383.14
  5. Step 5: Solve for x
    x = 118,568,383.14/12,339.71
  6. Step 6: Final answer
    x = 9,608.68

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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.