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Finding the Fourth Proportional to 12,477.76, 17,219.52 and 6,812.80

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Solution

The fourth proportional to 12,477.76, 17,219.52 and 6,812.80 is: 9,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.76 : 17,219.52 = 6,812.80 : x
  2. Step 2: Convert to fraction form
    12,477.76/17,219.52 = 6,812.80/x
  3. Step 3: Cross multiply
    12,477.76x = 17,219.52 × 6,812.80
  4. Step 4: Simplify right side
    12,477.76x = 117,313,145.86
  5. Step 5: Solve for x
    x = 117,313,145.86/12,477.76
  6. Step 6: Final answer
    x = 9,401.78

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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.