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Finding the Fourth Proportional to 13,204.47, 19,806.72 and 12,329.67

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Solution

The fourth proportional to 13,204.47, 19,806.72 and 12,329.67 is: 18,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.47 : 19,806.72 = 12,329.67 : x
  2. Step 2: Convert to fraction form
    13,204.47/19,806.72 = 12,329.67/x
  3. Step 3: Cross multiply
    13,204.47x = 19,806.72 × 12,329.67
  4. Step 4: Simplify right side
    13,204.47x = 244,210,321.38
  5. Step 5: Solve for x
    x = 244,210,321.38/13,204.47
  6. Step 6: Final answer
    x = 18,494.52

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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.