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Finding the Fourth Proportional to 27,886.56, 41,857.18 and 20,470.00

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Solution

The fourth proportional to 27,886.56, 41,857.18 and 20,470.00 is: 30,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.56 : 41,857.18 = 20,470.00 : x
  2. Step 2: Convert to fraction form
    27,886.56/41,857.18 = 20,470.00/x
  3. Step 3: Cross multiply
    27,886.56x = 41,857.18 × 20,470.00
  4. Step 4: Simplify right side
    27,886.56x = 856,816,318.78
  5. Step 5: Solve for x
    x = 856,816,318.78/27,886.56
  6. Step 6: Final answer
    x = 30,725.06

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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.