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Finding the Fourth Proportional to 25,896.69, 38,820.47 and 16,510.37

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Solution

The fourth proportional to 25,896.69, 38,820.47 and 16,510.37 is: 24,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.69 : 38,820.47 = 16,510.37 : x
  2. Step 2: Convert to fraction form
    25,896.69/38,820.47 = 16,510.37/x
  3. Step 3: Cross multiply
    25,896.69x = 38,820.47 × 16,510.37
  4. Step 4: Simplify right side
    25,896.69x = 640,940,046.62
  5. Step 5: Solve for x
    x = 640,940,046.62/25,896.69
  6. Step 6: Final answer
    x = 24,749.88

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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.