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Finding the Fourth Proportional to 14,232.69, 21,351.78 and 5,466.96

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Solution

The fourth proportional to 14,232.69, 21,351.78 and 5,466.96 is: 8,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.69 : 21,351.78 = 5,466.96 : x
  2. Step 2: Convert to fraction form
    14,232.69/21,351.78 = 5,466.96/x
  3. Step 3: Cross multiply
    14,232.69x = 21,351.78 × 5,466.96
  4. Step 4: Simplify right side
    14,232.69x = 116,729,327.19
  5. Step 5: Solve for x
    x = 116,729,327.19/14,232.69
  6. Step 6: Final answer
    x = 8,201.49

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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.