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Finding the Fourth Proportional to 23,408.99, 32,304.48 and 12,798.80

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Solution

The fourth proportional to 23,408.99, 32,304.48 and 12,798.80 is: 17,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.99 : 32,304.48 = 12,798.80 : x
  2. Step 2: Convert to fraction form
    23,408.99/32,304.48 = 12,798.80/x
  3. Step 3: Cross multiply
    23,408.99x = 32,304.48 × 12,798.80
  4. Step 4: Simplify right side
    23,408.99x = 413,458,578.62
  5. Step 5: Solve for x
    x = 413,458,578.62/23,408.99
  6. Step 6: Final answer
    x = 17,662.38

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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.