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Finding the Fourth Proportional to 14,536.69, 21,817.49 and 5,777.75

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Solution

The fourth proportional to 14,536.69, 21,817.49 and 5,777.75 is: 8,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.69 : 21,817.49 = 5,777.75 : x
  2. Step 2: Convert to fraction form
    14,536.69/21,817.49 = 5,777.75/x
  3. Step 3: Cross multiply
    14,536.69x = 21,817.49 × 5,777.75
  4. Step 4: Simplify right side
    14,536.69x = 126,056,028.50
  5. Step 5: Solve for x
    x = 126,056,028.50/14,536.69
  6. Step 6: Final answer
    x = 8,671.58

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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.