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Finding the Fourth Proportional to 13,198.86, 18,214.65 and 7,230.42

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Solution

The fourth proportional to 13,198.86, 18,214.65 and 7,230.42 is: 9,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.86 : 18,214.65 = 7,230.42 : x
  2. Step 2: Convert to fraction form
    13,198.86/18,214.65 = 7,230.42/x
  3. Step 3: Cross multiply
    13,198.86x = 18,214.65 × 7,230.42
  4. Step 4: Simplify right side
    13,198.86x = 131,699,569.65
  5. Step 5: Solve for x
    x = 131,699,569.65/13,198.86
  6. Step 6: Final answer
    x = 9,978.10

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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.