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Finding the Fourth Proportional to 14,333.16, 19,789.40 and 10,969.97

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Solution

The fourth proportional to 14,333.16, 19,789.40 and 10,969.97 is: 15,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.16 : 19,789.40 = 10,969.97 : x
  2. Step 2: Convert to fraction form
    14,333.16/19,789.40 = 10,969.97/x
  3. Step 3: Cross multiply
    14,333.16x = 19,789.40 × 10,969.97
  4. Step 4: Simplify right side
    14,333.16x = 217,089,201.22
  5. Step 5: Solve for x
    x = 217,089,201.22/14,333.16
  6. Step 6: Final answer
    x = 15,145.94

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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.