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Finding the Fourth Proportional to 25.86, 38.76 and 9.82

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Solution

The fourth proportional to 25.86, 38.76 and 9.82 is: 14.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 38.76 = 9.82 : x
  2. Step 2: Convert to fraction form
    25.86/38.76 = 9.82/x
  3. Step 3: Cross multiply
    25.86x = 38.76 × 9.82
  4. Step 4: Simplify right side
    25.86x = 380.62
  5. Step 5: Solve for x
    x = 380.62/25.86
  6. Step 6: Final answer
    x = 14.72

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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.