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Finding the Fourth Proportional to 27,500, 37,949.92 and 14,924.80

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Solution

The fourth proportional to 27,500, 37,949.92 and 14,924.80 is: 20,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,500 : 37,949.92 = 14,924.80 : x
  2. Step 2: Convert to fraction form
    27,500/37,949.92 = 14,924.80/x
  3. Step 3: Cross multiply
    27,500x = 37,949.92 × 14,924.80
  4. Step 4: Simplify right side
    27,500x = 566,394,966.02
  5. Step 5: Solve for x
    x = 566,394,966.02/27,500
  6. Step 6: Final answer
    x = 20,596.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.