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Finding the Fourth Proportional to 13,198.64, 18,214.13 and 7,230.53

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Solution

The fourth proportional to 13,198.64, 18,214.13 and 7,230.53 is: 9,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.64 : 18,214.13 = 7,230.53 : x
  2. Step 2: Convert to fraction form
    13,198.64/18,214.13 = 7,230.53/x
  3. Step 3: Cross multiply
    13,198.64x = 18,214.13 × 7,230.53
  4. Step 4: Simplify right side
    13,198.64x = 131,697,740.39
  5. Step 5: Solve for x
    x = 131,697,740.39/13,198.64
  6. Step 6: Final answer
    x = 9,978.13

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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.