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Finding the Fourth Proportional to 25,757.54, 35,546.18 and 14,427

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Solution

The fourth proportional to 25,757.54, 35,546.18 and 14,427 is: 19,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.54 : 35,546.18 = 14,427 : x
  2. Step 2: Convert to fraction form
    25,757.54/35,546.18 = 14,427/x
  3. Step 3: Cross multiply
    25,757.54x = 35,546.18 × 14,427
  4. Step 4: Simplify right side
    25,757.54x = 512,824,738.86
  5. Step 5: Solve for x
    x = 512,824,738.86/25,757.54
  6. Step 6: Final answer
    x = 19,909.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.