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Finding the Fourth Proportional to 25,462.86, 38,181.90 and 8,823.84

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Solution

The fourth proportional to 25,462.86, 38,181.90 and 8,823.84 is: 13,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.86 : 38,181.90 = 8,823.84 : x
  2. Step 2: Convert to fraction form
    25,462.86/38,181.90 = 8,823.84/x
  3. Step 3: Cross multiply
    25,462.86x = 38,181.90 × 8,823.84
  4. Step 4: Simplify right side
    25,462.86x = 336,910,976.50
  5. Step 5: Solve for x
    x = 336,910,976.50/25,462.86
  6. Step 6: Final answer
    x = 13,231.47

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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.