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Finding the Fourth Proportional to 12,834.06, 17,704.41 and 7,525.32

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Solution

The fourth proportional to 12,834.06, 17,704.41 and 7,525.32 is: 10,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.06 : 17,704.41 = 7,525.32 : x
  2. Step 2: Convert to fraction form
    12,834.06/17,704.41 = 7,525.32/x
  3. Step 3: Cross multiply
    12,834.06x = 17,704.41 × 7,525.32
  4. Step 4: Simplify right side
    12,834.06x = 133,231,350.66
  5. Step 5: Solve for x
    x = 133,231,350.66/12,834.06
  6. Step 6: Final answer
    x = 10,381.08

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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.