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Finding the Fourth Proportional to 12,851.24, 17,735.38 and 7,814.64

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Solution

The fourth proportional to 12,851.24, 17,735.38 and 7,814.64 is: 10,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.24 : 17,735.38 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    12,851.24/17,735.38 = 7,814.64/x
  3. Step 3: Cross multiply
    12,851.24x = 17,735.38 × 7,814.64
  4. Step 4: Simplify right side
    12,851.24x = 138,595,609.96
  5. Step 5: Solve for x
    x = 138,595,609.96/12,851.24
  6. Step 6: Final answer
    x = 10,784.61

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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.