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Finding the Fourth Proportional to 12,241.48, 18,354.92 and 4,847

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Solution

The fourth proportional to 12,241.48, 18,354.92 and 4,847 is: 7,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.48 : 18,354.92 = 4,847 : x
  2. Step 2: Convert to fraction form
    12,241.48/18,354.92 = 4,847/x
  3. Step 3: Cross multiply
    12,241.48x = 18,354.92 × 4,847
  4. Step 4: Simplify right side
    12,241.48x = 88,966,297.24
  5. Step 5: Solve for x
    x = 88,966,297.24/12,241.48
  6. Step 6: Final answer
    x = 7,267.61

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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.