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Finding the Fourth Proportional to 25,659, 38,489.98 and 7,192.44

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Solution

The fourth proportional to 25,659, 38,489.98 and 7,192.44 is: 10,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 38,489.98 = 7,192.44 : x
  2. Step 2: Convert to fraction form
    25,659/38,489.98 = 7,192.44/x
  3. Step 3: Cross multiply
    25,659x = 38,489.98 × 7,192.44
  4. Step 4: Simplify right side
    25,659x = 276,836,871.75
  5. Step 5: Solve for x
    x = 276,836,871.75/25,659
  6. Step 6: Final answer
    x = 10,789.07

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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.