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Finding the Fourth Proportional to 19,493.88, 29,234.20 and 6,343

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Solution

The fourth proportional to 19,493.88, 29,234.20 and 6,343 is: 9,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.88 : 29,234.20 = 6,343 : x
  2. Step 2: Convert to fraction form
    19,493.88/29,234.20 = 6,343/x
  3. Step 3: Cross multiply
    19,493.88x = 29,234.20 × 6,343
  4. Step 4: Simplify right side
    19,493.88x = 185,432,530.60
  5. Step 5: Solve for x
    x = 185,432,530.60/19,493.88
  6. Step 6: Final answer
    x = 9,512.35

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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.