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Finding the Fourth Proportional to 12,431.46, 17,155.62 and 6,766.32

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Solution

The fourth proportional to 12,431.46, 17,155.62 and 6,766.32 is: 9,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.46 : 17,155.62 = 6,766.32 : x
  2. Step 2: Convert to fraction form
    12,431.46/17,155.62 = 6,766.32/x
  3. Step 3: Cross multiply
    12,431.46x = 17,155.62 × 6,766.32
  4. Step 4: Simplify right side
    12,431.46x = 116,080,414.72
  5. Step 5: Solve for x
    x = 116,080,414.72/12,431.46
  6. Step 6: Final answer
    x = 9,337.63

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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.