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Finding the Fourth Proportional to 16,649.96, 24,982.14 and 7,891.08

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Solution

The fourth proportional to 16,649.96, 24,982.14 and 7,891.08 is: 11,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.96 : 24,982.14 = 7,891.08 : x
  2. Step 2: Convert to fraction form
    16,649.96/24,982.14 = 7,891.08/x
  3. Step 3: Cross multiply
    16,649.96x = 24,982.14 × 7,891.08
  4. Step 4: Simplify right side
    16,649.96x = 197,136,065.31
  5. Step 5: Solve for x
    x = 197,136,065.31/16,649.96
  6. Step 6: Final answer
    x = 11,840.03

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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.