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Finding the Fourth Proportional to 17,114.31, 25,675.07 and 6,440.73

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Solution

The fourth proportional to 17,114.31, 25,675.07 and 6,440.73 is: 9,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.31 : 25,675.07 = 6,440.73 : x
  2. Step 2: Convert to fraction form
    17,114.31/25,675.07 = 6,440.73/x
  3. Step 3: Cross multiply
    17,114.31x = 25,675.07 × 6,440.73
  4. Step 4: Simplify right side
    17,114.31x = 165,366,161.40
  5. Step 5: Solve for x
    x = 165,366,161.40/17,114.31
  6. Step 6: Final answer
    x = 9,662.45

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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.