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Finding the Fourth Proportional to 27,125, 40,687.74 and 9,597.80

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Solution

The fourth proportional to 27,125, 40,687.74 and 9,597.80 is: 14,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,125 : 40,687.74 = 9,597.80 : x
  2. Step 2: Convert to fraction form
    27,125/40,687.74 = 9,597.80/x
  3. Step 3: Cross multiply
    27,125x = 40,687.74 × 9,597.80
  4. Step 4: Simplify right side
    27,125x = 390,512,790.97
  5. Step 5: Solve for x
    x = 390,512,790.97/27,125
  6. Step 6: Final answer
    x = 14,396.78

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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.