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Finding the Fourth Proportional to 27,197.82, 40,788.09 and 8,725.50

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Solution

The fourth proportional to 27,197.82, 40,788.09 and 8,725.50 is: 13,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.82 : 40,788.09 = 8,725.50 : x
  2. Step 2: Convert to fraction form
    27,197.82/40,788.09 = 8,725.50/x
  3. Step 3: Cross multiply
    27,197.82x = 40,788.09 × 8,725.50
  4. Step 4: Simplify right side
    27,197.82x = 355,896,479.30
  5. Step 5: Solve for x
    x = 355,896,479.30/27,197.82
  6. Step 6: Final answer
    x = 13,085.48

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