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Finding the Fourth Proportional to 11,215.20, 16,822.80 and 9,544.80

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Solution

The fourth proportional to 11,215.20, 16,822.80 and 9,544.80 is: 14,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.20 : 16,822.80 = 9,544.80 : x
  2. Step 2: Convert to fraction form
    11,215.20/16,822.80 = 9,544.80/x
  3. Step 3: Cross multiply
    11,215.20x = 16,822.80 × 9,544.80
  4. Step 4: Simplify right side
    11,215.20x = 160,570,261.44
  5. Step 5: Solve for x
    x = 160,570,261.44/11,215.20
  6. Step 6: Final answer
    x = 14,317.20

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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.