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Finding the Fourth Proportional to 13,184.55, 18,198.12 and 9,151.67

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Solution

The fourth proportional to 13,184.55, 18,198.12 and 9,151.67 is: 12,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.55 : 18,198.12 = 9,151.67 : x
  2. Step 2: Convert to fraction form
    13,184.55/18,198.12 = 9,151.67/x
  3. Step 3: Cross multiply
    13,184.55x = 18,198.12 × 9,151.67
  4. Step 4: Simplify right side
    13,184.55x = 166,543,097.87
  5. Step 5: Solve for x
    x = 166,543,097.87/13,184.55
  6. Step 6: Final answer
    x = 12,631.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.