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Finding the Fourth Proportional to 13,020.09, 17,969.52 and 7,983.42

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Solution

The fourth proportional to 13,020.09, 17,969.52 and 7,983.42 is: 11,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.09 : 17,969.52 = 7,983.42 : x
  2. Step 2: Convert to fraction form
    13,020.09/17,969.52 = 7,983.42/x
  3. Step 3: Cross multiply
    13,020.09x = 17,969.52 × 7,983.42
  4. Step 4: Simplify right side
    13,020.09x = 143,458,225.36
  5. Step 5: Solve for x
    x = 143,458,225.36/13,020.09
  6. Step 6: Final answer
    x = 11,018.22

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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.