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Finding the Fourth Proportional to 23,309.88, 32,167.66 and 12,699.54

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Solution

The fourth proportional to 23,309.88, 32,167.66 and 12,699.54 is: 17,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.88 : 32,167.66 = 12,699.54 : x
  2. Step 2: Convert to fraction form
    23,309.88/32,167.66 = 12,699.54/x
  3. Step 3: Cross multiply
    23,309.88x = 32,167.66 × 12,699.54
  4. Step 4: Simplify right side
    23,309.88x = 408,514,484.88
  5. Step 5: Solve for x
    x = 408,514,484.88/23,309.88
  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.