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Finding the Fourth Proportional to 12,478.20, 17,219.82 and 6,812.76

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Solution

The fourth proportional to 12,478.20, 17,219.82 and 6,812.76 is: 9,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.20 : 17,219.82 = 6,812.76 : x
  2. Step 2: Convert to fraction form
    12,478.20/17,219.82 = 6,812.76/x
  3. Step 3: Cross multiply
    12,478.20x = 17,219.82 × 6,812.76
  4. Step 4: Simplify right side
    12,478.20x = 117,314,500.90
  5. Step 5: Solve for x
    x = 117,314,500.90/12,478.20
  6. Step 6: Final answer
    x = 9,401.56

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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.