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Finding the Fourth Proportional to 14,453.96, 21,639.94 and 9,462.15

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Solution

The fourth proportional to 14,453.96, 21,639.94 and 9,462.15 is: 14,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.96 : 21,639.94 = 9,462.15 : x
  2. Step 2: Convert to fraction form
    14,453.96/21,639.94 = 9,462.15/x
  3. Step 3: Cross multiply
    14,453.96x = 21,639.94 × 9,462.15
  4. Step 4: Simplify right side
    14,453.96x = 204,760,334.62
  5. Step 5: Solve for x
    x = 204,760,334.62/14,453.96
  6. Step 6: Final answer
    x = 14,166.39

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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.