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Finding the Fourth Proportional to 12,820.20, 19,233.90 and 5,428.20

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Solution

The fourth proportional to 12,820.20, 19,233.90 and 5,428.20 is: 8,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.20 : 19,233.90 = 5,428.20 : x
  2. Step 2: Convert to fraction form
    12,820.20/19,233.90 = 5,428.20/x
  3. Step 3: Cross multiply
    12,820.20x = 19,233.90 × 5,428.20
  4. Step 4: Simplify right side
    12,820.20x = 104,405,455.98
  5. Step 5: Solve for x
    x = 104,405,455.98/12,820.20
  6. Step 6: Final answer
    x = 8,143.82

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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.