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Finding the Fourth Proportional to 16,493.75, 22,762.82 and 9,043.19

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Solution

The fourth proportional to 16,493.75, 22,762.82 and 9,043.19 is: 12,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.75 : 22,762.82 = 9,043.19 : x
  2. Step 2: Convert to fraction form
    16,493.75/22,762.82 = 9,043.19/x
  3. Step 3: Cross multiply
    16,493.75x = 22,762.82 × 9,043.19
  4. Step 4: Simplify right side
    16,493.75x = 205,848,460.98
  5. Step 5: Solve for x
    x = 205,848,460.98/16,493.75
  6. Step 6: Final answer
    x = 12,480.39

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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.