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Finding the Fourth Proportional to 14,091.88, 19,447 and 7,804.24

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Solution

The fourth proportional to 14,091.88, 19,447 and 7,804.24 is: 10,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.88 : 19,447 = 7,804.24 : x
  2. Step 2: Convert to fraction form
    14,091.88/19,447 = 7,804.24/x
  3. Step 3: Cross multiply
    14,091.88x = 19,447 × 7,804.24
  4. Step 4: Simplify right side
    14,091.88x = 151,769,055.28
  5. Step 5: Solve for x
    x = 151,769,055.28/14,091.88
  6. Step 6: Final answer
    x = 10,769.97

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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.