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Finding the Fourth Proportional to 12,832.52, 17,653.38 and 10,469.48

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Solution

The fourth proportional to 12,832.52, 17,653.38 and 10,469.48 is: 14,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.52 : 17,653.38 = 10,469.48 : x
  2. Step 2: Convert to fraction form
    12,832.52/17,653.38 = 10,469.48/x
  3. Step 3: Cross multiply
    12,832.52x = 17,653.38 × 10,469.48
  4. Step 4: Simplify right side
    12,832.52x = 184,821,708.84
  5. Step 5: Solve for x
    x = 184,821,708.84/12,832.52
  6. Step 6: Final answer
    x = 14,402.60

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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.