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Finding the Fourth Proportional to 14,255.64, 19,673.82 and 7,967.61

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Solution

The fourth proportional to 14,255.64, 19,673.82 and 7,967.61 is: 10,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.64 : 19,673.82 = 7,967.61 : x
  2. Step 2: Convert to fraction form
    14,255.64/19,673.82 = 7,967.61/x
  3. Step 3: Cross multiply
    14,255.64x = 19,673.82 × 7,967.61
  4. Step 4: Simplify right side
    14,255.64x = 156,753,324.97
  5. Step 5: Solve for x
    x = 156,753,324.97/14,255.64
  6. Step 6: Final answer
    x = 10,995.88

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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.