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Finding the Fourth Proportional to 25,889.16, 38,826.36 and 7,164.48

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Solution

The fourth proportional to 25,889.16, 38,826.36 and 7,164.48 is: 10,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.16 : 38,826.36 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    25,889.16/38,826.36 = 7,164.48/x
  3. Step 3: Cross multiply
    25,889.16x = 38,826.36 × 7,164.48
  4. Step 4: Simplify right side
    25,889.16x = 278,170,679.69
  5. Step 5: Solve for x
    x = 278,170,679.69/25,889.16
  6. Step 6: Final answer
    x = 10,744.68

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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.