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Finding the Fourth Proportional to 19,676.50, 29,493.38 and 9,688.12

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Solution

The fourth proportional to 19,676.50, 29,493.38 and 9,688.12 is: 14,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.50 : 29,493.38 = 9,688.12 : x
  2. Step 2: Convert to fraction form
    19,676.50/29,493.38 = 9,688.12/x
  3. Step 3: Cross multiply
    19,676.50x = 29,493.38 × 9,688.12
  4. Step 4: Simplify right side
    19,676.50x = 285,735,404.65
  5. Step 5: Solve for x
    x = 285,735,404.65/19,676.50
  6. Step 6: Final answer
    x = 14,521.66

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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.