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Finding the Fourth Proportional to 14,431.50, 21,649.29 and 5,661.66

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Solution

The fourth proportional to 14,431.50, 21,649.29 and 5,661.66 is: 8,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.50 : 21,649.29 = 5,661.66 : x
  2. Step 2: Convert to fraction form
    14,431.50/21,649.29 = 5,661.66/x
  3. Step 3: Cross multiply
    14,431.50x = 21,649.29 × 5,661.66
  4. Step 4: Simplify right side
    14,431.50x = 122,570,919.22
  5. Step 5: Solve for x
    x = 122,570,919.22/14,431.50
  6. Step 6: Final answer
    x = 8,493.29

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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.