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Finding the Fourth Proportional to 12,502.73, 17,255.39 and 7,197.77

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Solution

The fourth proportional to 12,502.73, 17,255.39 and 7,197.77 is: 9,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.73 : 17,255.39 = 7,197.77 : x
  2. Step 2: Convert to fraction form
    12,502.73/17,255.39 = 7,197.77/x
  3. Step 3: Cross multiply
    12,502.73x = 17,255.39 × 7,197.77
  4. Step 4: Simplify right side
    12,502.73x = 124,200,260.20
  5. Step 5: Solve for x
    x = 124,200,260.20/12,502.73
  6. Step 6: Final answer
    x = 9,933.86

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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.