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Finding the Fourth Proportional to 27,475, 41,197.92 and 12,676.32

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Solution

The fourth proportional to 27,475, 41,197.92 and 12,676.32 is: 19,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475 : 41,197.92 = 12,676.32 : x
  2. Step 2: Convert to fraction form
    27,475/41,197.92 = 12,676.32/x
  3. Step 3: Cross multiply
    27,475x = 41,197.92 × 12,676.32
  4. Step 4: Simplify right side
    27,475x = 522,238,017.25
  5. Step 5: Solve for x
    x = 522,238,017.25/27,475
  6. Step 6: Final answer
    x = 19,007.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.