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Finding the Fourth Proportional to 12,215.20, 18,322.80 and 9,104.80

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Solution

The fourth proportional to 12,215.20, 18,322.80 and 9,104.80 is: 13,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.20 : 18,322.80 = 9,104.80 : x
  2. Step 2: Convert to fraction form
    12,215.20/18,322.80 = 9,104.80/x
  3. Step 3: Cross multiply
    12,215.20x = 18,322.80 × 9,104.80
  4. Step 4: Simplify right side
    12,215.20x = 166,825,429.44
  5. Step 5: Solve for x
    x = 166,825,429.44/12,215.20
  6. Step 6: Final answer
    x = 13,657.20

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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.