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Finding the Fourth Proportional to 17,201.80, 25,782.54 and 7,948.36

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Solution

The fourth proportional to 17,201.80, 25,782.54 and 7,948.36 is: 11,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.80 : 25,782.54 = 7,948.36 : x
  2. Step 2: Convert to fraction form
    17,201.80/25,782.54 = 7,948.36/x
  3. Step 3: Cross multiply
    17,201.80x = 25,782.54 × 7,948.36
  4. Step 4: Simplify right side
    17,201.80x = 204,928,909.63
  5. Step 5: Solve for x
    x = 204,928,909.63/17,201.80
  6. Step 6: Final answer
    x = 11,913.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.