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Finding the Fourth Proportional to 12,639.66, 17,442.81 and 6,974.61

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Solution

The fourth proportional to 12,639.66, 17,442.81 and 6,974.61 is: 9,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.66 : 17,442.81 = 6,974.61 : x
  2. Step 2: Convert to fraction form
    12,639.66/17,442.81 = 6,974.61/x
  3. Step 3: Cross multiply
    12,639.66x = 17,442.81 × 6,974.61
  4. Step 4: Simplify right side
    12,639.66x = 121,656,797.05
  5. Step 5: Solve for x
    x = 121,656,797.05/12,639.66
  6. Step 6: Final answer
    x = 9,625.01

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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.