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Finding the Fourth Proportional to 19,676.62, 29,517.90 and 6,526

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Solution

The fourth proportional to 19,676.62, 29,517.90 and 6,526 is: 9,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.62 : 29,517.90 = 6,526 : x
  2. Step 2: Convert to fraction form
    19,676.62/29,517.90 = 6,526/x
  3. Step 3: Cross multiply
    19,676.62x = 29,517.90 × 6,526
  4. Step 4: Simplify right side
    19,676.62x = 192,633,815.40
  5. Step 5: Solve for x
    x = 192,633,815.40/19,676.62
  6. Step 6: Final answer
    x = 9,789.99

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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.