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Finding the Fourth Proportional to 12,988.40, 19,480.20 and 8,049.20

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Solution

The fourth proportional to 12,988.40, 19,480.20 and 8,049.20 is: 12,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.40 : 19,480.20 = 8,049.20 : x
  2. Step 2: Convert to fraction form
    12,988.40/19,480.20 = 8,049.20/x
  3. Step 3: Cross multiply
    12,988.40x = 19,480.20 × 8,049.20
  4. Step 4: Simplify right side
    12,988.40x = 156,800,025.84
  5. Step 5: Solve for x
    x = 156,800,025.84/12,988.40
  6. Step 6: Final answer
    x = 12,072.31

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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.