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Finding the Fourth Proportional to 23,682.96, 32,744.79 and 23,308.74

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Solution

The fourth proportional to 23,682.96, 32,744.79 and 23,308.74 is: 32,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.96 : 32,744.79 = 23,308.74 : x
  2. Step 2: Convert to fraction form
    23,682.96/32,744.79 = 23,308.74/x
  3. Step 3: Cross multiply
    23,682.96x = 32,744.79 × 23,308.74
  4. Step 4: Simplify right side
    23,682.96x = 763,239,796.46
  5. Step 5: Solve for x
    x = 763,239,796.46/23,682.96
  6. Step 6: Final answer
    x = 32,227.38

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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.