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Finding the Fourth Proportional to 12,422.68, 17,143.62 and 6,757.78

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Solution

The fourth proportional to 12,422.68, 17,143.62 and 6,757.78 is: 9,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.68 : 17,143.62 = 6,757.78 : x
  2. Step 2: Convert to fraction form
    12,422.68/17,143.62 = 6,757.78/x
  3. Step 3: Cross multiply
    12,422.68x = 17,143.62 × 6,757.78
  4. Step 4: Simplify right side
    12,422.68x = 115,852,812.36
  5. Step 5: Solve for x
    x = 115,852,812.36/12,422.68
  6. Step 6: Final answer
    x = 9,325.91

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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.