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Finding the Fourth Proportional to 13,211.81, 18,232.16 and 7,243.58

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Solution

The fourth proportional to 13,211.81, 18,232.16 and 7,243.58 is: 9,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.81 : 18,232.16 = 7,243.58 : x
  2. Step 2: Convert to fraction form
    13,211.81/18,232.16 = 7,243.58/x
  3. Step 3: Cross multiply
    13,211.81x = 18,232.16 × 7,243.58
  4. Step 4: Simplify right side
    13,211.81x = 132,066,109.53
  5. Step 5: Solve for x
    x = 132,066,109.53/13,211.81
  6. Step 6: Final answer
    x = 9,996.06

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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.