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Finding the Fourth Proportional to 13,199.16, 18,214.80 and 7,231.02

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Solution

The fourth proportional to 13,199.16, 18,214.80 and 7,231.02 is: 9,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.16 : 18,214.80 = 7,231.02 : x
  2. Step 2: Convert to fraction form
    13,199.16/18,214.80 = 7,231.02/x
  3. Step 3: Cross multiply
    13,199.16x = 18,214.80 × 7,231.02
  4. Step 4: Simplify right side
    13,199.16x = 131,711,583.10
  5. Step 5: Solve for x
    x = 131,711,583.10/13,199.16
  6. Step 6: Final answer
    x = 9,978.79

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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.