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Finding the Fourth Proportional to 14,287.46, 19,716.67 and 7,999.83

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Solution

The fourth proportional to 14,287.46, 19,716.67 and 7,999.83 is: 11,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.46 : 19,716.67 = 7,999.83 : x
  2. Step 2: Convert to fraction form
    14,287.46/19,716.67 = 7,999.83/x
  3. Step 3: Cross multiply
    14,287.46x = 19,716.67 × 7,999.83
  4. Step 4: Simplify right side
    14,287.46x = 157,729,973.17
  5. Step 5: Solve for x
    x = 157,729,973.17/14,287.46
  6. Step 6: Final answer
    x = 11,039.75

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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.