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Finding the Fourth Proportional to 25,710.28, 38,579.94 and 11,859.28

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Solution

The fourth proportional to 25,710.28, 38,579.94 and 11,859.28 is: 17,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.28 : 38,579.94 = 11,859.28 : x
  2. Step 2: Convert to fraction form
    25,710.28/38,579.94 = 11,859.28/x
  3. Step 3: Cross multiply
    25,710.28x = 38,579.94 × 11,859.28
  4. Step 4: Simplify right side
    25,710.28x = 457,530,310.84
  5. Step 5: Solve for x
    x = 457,530,310.84/25,710.28
  6. Step 6: Final answer
    x = 17,795.62

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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.