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Finding the Fourth Proportional to 14,287.72, 19,716.22 and 7,914.28

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Solution

The fourth proportional to 14,287.72, 19,716.22 and 7,914.28 is: 10,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.72 : 19,716.22 = 7,914.28 : x
  2. Step 2: Convert to fraction form
    14,287.72/19,716.22 = 7,914.28/x
  3. Step 3: Cross multiply
    14,287.72x = 19,716.22 × 7,914.28
  4. Step 4: Simplify right side
    14,287.72x = 156,039,685.62
  5. Step 5: Solve for x
    x = 156,039,685.62/14,287.72
  6. Step 6: Final answer
    x = 10,921.24

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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.