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Finding the Fourth Proportional to 12,231.60, 18,347.40 and 7,033.20

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Solution

The fourth proportional to 12,231.60, 18,347.40 and 7,033.20 is: 10,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.60 : 18,347.40 = 7,033.20 : x
  2. Step 2: Convert to fraction form
    12,231.60/18,347.40 = 7,033.20/x
  3. Step 3: Cross multiply
    12,231.60x = 18,347.40 × 7,033.20
  4. Step 4: Simplify right side
    12,231.60x = 129,040,933.68
  5. Step 5: Solve for x
    x = 129,040,933.68/12,231.60
  6. Step 6: Final answer
    x = 10,549.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.