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Finding the Fourth Proportional to 25,838.31, 35,656.92 and 14,660.31

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Solution

The fourth proportional to 25,838.31, 35,656.92 and 14,660.31 is: 20,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.31 : 35,656.92 = 14,660.31 : x
  2. Step 2: Convert to fraction form
    25,838.31/35,656.92 = 14,660.31/x
  3. Step 3: Cross multiply
    25,838.31x = 35,656.92 × 14,660.31
  4. Step 4: Simplify right side
    25,838.31x = 522,741,500.85
  5. Step 5: Solve for x
    x = 522,741,500.85/25,838.31
  6. Step 6: Final answer
    x = 20,231.26

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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.