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Finding the Fourth Proportional to 23,309.91, 32,167.69 and 12,699.55

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Solution

The fourth proportional to 23,309.91, 32,167.69 and 12,699.55 is: 17,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.91 : 32,167.69 = 12,699.55 : x
  2. Step 2: Convert to fraction form
    23,309.91/32,167.69 = 12,699.55/x
  3. Step 3: Cross multiply
    23,309.91x = 32,167.69 × 12,699.55
  4. Step 4: Simplify right side
    23,309.91x = 408,515,029.04
  5. Step 5: Solve for x
    x = 408,515,029.04/23,309.91
  6. Step 6: Final answer
    x = 17,525.38

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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.