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Finding the Fourth Proportional to 12,832.96, 17,704.51 and 7,525.84

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Solution

The fourth proportional to 12,832.96, 17,704.51 and 7,525.84 is: 10,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.96 : 17,704.51 = 7,525.84 : x
  2. Step 2: Convert to fraction form
    12,832.96/17,704.51 = 7,525.84/x
  3. Step 3: Cross multiply
    12,832.96x = 17,704.51 × 7,525.84
  4. Step 4: Simplify right side
    12,832.96x = 133,241,309.54
  5. Step 5: Solve for x
    x = 133,241,309.54/12,832.96
  6. Step 6: Final answer
    x = 10,382.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.