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Finding the Fourth Proportional to 12,734.90, 17,573.38 and 7,069.31

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Solution

The fourth proportional to 12,734.90, 17,573.38 and 7,069.31 is: 9,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.90 : 17,573.38 = 7,069.31 : x
  2. Step 2: Convert to fraction form
    12,734.90/17,573.38 = 7,069.31/x
  3. Step 3: Cross multiply
    12,734.90x = 17,573.38 × 7,069.31
  4. Step 4: Simplify right side
    12,734.90x = 124,231,697.23
  5. Step 5: Solve for x
    x = 124,231,697.23/12,734.90
  6. Step 6: Final answer
    x = 9,755.21

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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.