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Finding the Fourth Proportional to 14,649.84, 20,213.22 and 8,682.96

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Solution

The fourth proportional to 14,649.84, 20,213.22 and 8,682.96 is: 11,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.84 : 20,213.22 = 8,682.96 : x
  2. Step 2: Convert to fraction form
    14,649.84/20,213.22 = 8,682.96/x
  3. Step 3: Cross multiply
    14,649.84x = 20,213.22 × 8,682.96
  4. Step 4: Simplify right side
    14,649.84x = 175,510,580.73
  5. Step 5: Solve for x
    x = 175,510,580.73/14,649.84
  6. Step 6: Final answer
    x = 11,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.