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Finding the Fourth Proportional to 14,829.69, 20,465.10 and 9,163.14

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Solution

The fourth proportional to 14,829.69, 20,465.10 and 9,163.14 is: 12,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.69 : 20,465.10 = 9,163.14 : x
  2. Step 2: Convert to fraction form
    14,829.69/20,465.10 = 9,163.14/x
  3. Step 3: Cross multiply
    14,829.69x = 20,465.10 × 9,163.14
  4. Step 4: Simplify right side
    14,829.69x = 187,524,576.41
  5. Step 5: Solve for x
    x = 187,524,576.41/14,829.69
  6. Step 6: Final answer
    x = 12,645.21

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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.