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Finding the Fourth Proportional to 23,682.86, 32,678.42 and 13,609.16

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Solution

The fourth proportional to 23,682.86, 32,678.42 and 13,609.16 is: 18,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.86 : 32,678.42 = 13,609.16 : x
  2. Step 2: Convert to fraction form
    23,682.86/32,678.42 = 13,609.16/x
  3. Step 3: Cross multiply
    23,682.86x = 32,678.42 × 13,609.16
  4. Step 4: Simplify right side
    23,682.86x = 444,725,614.89
  5. Step 5: Solve for x
    x = 444,725,614.89/23,682.86
  6. Step 6: Final answer
    x = 18,778.38

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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.