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Finding the Fourth Proportional to 12,698.82, 17,525.34 and 7,034.04

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Solution

The fourth proportional to 12,698.82, 17,525.34 and 7,034.04 is: 9,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.82 : 17,525.34 = 7,034.04 : x
  2. Step 2: Convert to fraction form
    12,698.82/17,525.34 = 7,034.04/x
  3. Step 3: Cross multiply
    12,698.82x = 17,525.34 × 7,034.04
  4. Step 4: Simplify right side
    12,698.82x = 123,273,942.57
  5. Step 5: Solve for x
    x = 123,273,942.57/12,698.82
  6. Step 6: Final answer
    x = 9,707.51

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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.