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Finding the Fourth Proportional to 13,211.14, 19,798.22 and 9,495.94

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Solution

The fourth proportional to 13,211.14, 19,798.22 and 9,495.94 is: 14,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.14 : 19,798.22 = 9,495.94 : x
  2. Step 2: Convert to fraction form
    13,211.14/19,798.22 = 9,495.94/x
  3. Step 3: Cross multiply
    13,211.14x = 19,798.22 × 9,495.94
  4. Step 4: Simplify right side
    13,211.14x = 188,002,709.23
  5. Step 5: Solve for x
    x = 188,002,709.23/13,211.14
  6. Step 6: Final answer
    x = 14,230.62

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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.