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Finding the Fourth Proportional to 20,125.30, 27,760.30 and 12,964.49

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Solution

The fourth proportional to 20,125.30, 27,760.30 and 12,964.49 is: 17,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.30 : 27,760.30 = 12,964.49 : x
  2. Step 2: Convert to fraction form
    20,125.30/27,760.30 = 12,964.49/x
  3. Step 3: Cross multiply
    20,125.30x = 27,760.30 × 12,964.49
  4. Step 4: Simplify right side
    20,125.30x = 359,898,131.75
  5. Step 5: Solve for x
    x = 359,898,131.75/20,125.30
  6. Step 6: Final answer
    x = 17,882.87

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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.