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Finding the Fourth Proportional to 25,387.56, 38,081.46 and 7,857.48

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Solution

The fourth proportional to 25,387.56, 38,081.46 and 7,857.48 is: 11,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,387.56 : 38,081.46 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    25,387.56/38,081.46 = 7,857.48/x
  3. Step 3: Cross multiply
    25,387.56x = 38,081.46 × 7,857.48
  4. Step 4: Simplify right side
    25,387.56x = 299,224,310.32
  5. Step 5: Solve for x
    x = 299,224,310.32/25,387.56
  6. Step 6: Final answer
    x = 11,786.26

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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.