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Finding the Fourth Proportional to 25,912.76, 38,856.36 and 10,917.14

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Solution

The fourth proportional to 25,912.76, 38,856.36 and 10,917.14 is: 16,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.76 : 38,856.36 = 10,917.14 : x
  2. Step 2: Convert to fraction form
    25,912.76/38,856.36 = 10,917.14/x
  3. Step 3: Cross multiply
    25,912.76x = 38,856.36 × 10,917.14
  4. Step 4: Simplify right side
    25,912.76x = 424,200,322.01
  5. Step 5: Solve for x
    x = 424,200,322.01/25,912.76
  6. Step 6: Final answer
    x = 16,370.33

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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.