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Finding the Fourth Proportional to 12,214.80, 18,300.60 and 10,832.40

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Solution

The fourth proportional to 12,214.80, 18,300.60 and 10,832.40 is: 16,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.80 : 18,300.60 = 10,832.40 : x
  2. Step 2: Convert to fraction form
    12,214.80/18,300.60 = 10,832.40/x
  3. Step 3: Cross multiply
    12,214.80x = 18,300.60 × 10,832.40
  4. Step 4: Simplify right side
    12,214.80x = 198,239,419.44
  5. Step 5: Solve for x
    x = 198,239,419.44/12,214.80
  6. Step 6: Final answer
    x = 16,229.44

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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.