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Finding the Fourth Proportional to 14,167.69, 19,552.07 and 8,198.20

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Solution

The fourth proportional to 14,167.69, 19,552.07 and 8,198.20 is: 11,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.69 : 19,552.07 = 8,198.20 : x
  2. Step 2: Convert to fraction form
    14,167.69/19,552.07 = 8,198.20/x
  3. Step 3: Cross multiply
    14,167.69x = 19,552.07 × 8,198.20
  4. Step 4: Simplify right side
    14,167.69x = 160,291,739.28
  5. Step 5: Solve for x
    x = 160,291,739.28/14,167.69
  6. Step 6: Final answer
    x = 11,313.90

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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.