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Finding the Fourth Proportional to 14,287.68, 19,716.96 and 8,000

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Solution

The fourth proportional to 14,287.68, 19,716.96 and 8,000 is: 11,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.68 : 19,716.96 = 8,000 : x
  2. Step 2: Convert to fraction form
    14,287.68/19,716.96 = 8,000/x
  3. Step 3: Cross multiply
    14,287.68x = 19,716.96 × 8,000
  4. Step 4: Simplify right side
    14,287.68x = 157,735,680
  5. Step 5: Solve for x
    x = 157,735,680/14,287.68
  6. Step 6: Final answer
    x = 11,039.98

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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.