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Finding the Fourth Proportional to 25,964.86, 38,963.84 and 9,324.54

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Solution

The fourth proportional to 25,964.86, 38,963.84 and 9,324.54 is: 13,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964.86 : 38,963.84 = 9,324.54 : x
  2. Step 2: Convert to fraction form
    25,964.86/38,963.84 = 9,324.54/x
  3. Step 3: Cross multiply
    25,964.86x = 38,963.84 × 9,324.54
  4. Step 4: Simplify right side
    25,964.86x = 363,319,884.63
  5. Step 5: Solve for x
    x = 363,319,884.63/25,964.86
  6. Step 6: Final answer
    x = 13,992.75

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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.