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Finding the Fourth Proportional to 12,122.80, 16,727.52 and 6,817.60

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Solution

The fourth proportional to 12,122.80, 16,727.52 and 6,817.60 is: 9,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.80 : 16,727.52 = 6,817.60 : x
  2. Step 2: Convert to fraction form
    12,122.80/16,727.52 = 6,817.60/x
  3. Step 3: Cross multiply
    12,122.80x = 16,727.52 × 6,817.60
  4. Step 4: Simplify right side
    12,122.80x = 114,041,540.35
  5. Step 5: Solve for x
    x = 114,041,540.35/12,122.80
  6. Step 6: Final answer
    x = 9,407.19

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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.