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Finding the Fourth Proportional to 25,694.82, 38,541.63 and 11,843.82

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Solution

The fourth proportional to 25,694.82, 38,541.63 and 11,843.82 is: 17,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.82 : 38,541.63 = 11,843.82 : x
  2. Step 2: Convert to fraction form
    25,694.82/38,541.63 = 11,843.82/x
  3. Step 3: Cross multiply
    25,694.82x = 38,541.63 × 11,843.82
  4. Step 4: Simplify right side
    25,694.82x = 456,480,128.23
  5. Step 5: Solve for x
    x = 456,480,128.23/25,694.82
  6. Step 6: Final answer
    x = 17,765.45

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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.