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Finding the Fourth Proportional to 12,832.04, 17,708.09 and 7,525.85

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Solution

The fourth proportional to 12,832.04, 17,708.09 and 7,525.85 is: 10,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.04 : 17,708.09 = 7,525.85 : x
  2. Step 2: Convert to fraction form
    12,832.04/17,708.09 = 7,525.85/x
  3. Step 3: Cross multiply
    12,832.04x = 17,708.09 × 7,525.85
  4. Step 4: Simplify right side
    12,832.04x = 133,268,302.96
  5. Step 5: Solve for x
    x = 133,268,302.96/12,832.04
  6. Step 6: Final answer
    x = 10,385.59

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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.