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Finding the Fourth Proportional to 16,495.32, 22,771.41 and 9,420.39

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Solution

The fourth proportional to 16,495.32, 22,771.41 and 9,420.39 is: 13,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.32 : 22,771.41 = 9,420.39 : x
  2. Step 2: Convert to fraction form
    16,495.32/22,771.41 = 9,420.39/x
  3. Step 3: Cross multiply
    16,495.32x = 22,771.41 × 9,420.39
  4. Step 4: Simplify right side
    16,495.32x = 214,515,563.05
  5. Step 5: Solve for x
    x = 214,515,563.05/16,495.32
  6. Step 6: Final answer
    x = 13,004.63

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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.