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Finding the Fourth Proportional to 23,682.99, 32,682.80 and 13,072.64

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Solution

The fourth proportional to 23,682.99, 32,682.80 and 13,072.64 is: 18,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.99 : 32,682.80 = 13,072.64 : x
  2. Step 2: Convert to fraction form
    23,682.99/32,682.80 = 13,072.64/x
  3. Step 3: Cross multiply
    23,682.99x = 32,682.80 × 13,072.64
  4. Step 4: Simplify right side
    23,682.99x = 427,250,347.86
  5. Step 5: Solve for x
    x = 427,250,347.86/23,682.99
  6. Step 6: Final answer
    x = 18,040.39

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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.