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Finding the Fourth Proportional to 23,383.68, 32,270.32 and 12,774

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Solution

The fourth proportional to 23,383.68, 32,270.32 and 12,774 is: 17,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.68 : 32,270.32 = 12,774 : x
  2. Step 2: Convert to fraction form
    23,383.68/32,270.32 = 12,774/x
  3. Step 3: Cross multiply
    23,383.68x = 32,270.32 × 12,774
  4. Step 4: Simplify right side
    23,383.68x = 412,221,067.68
  5. Step 5: Solve for x
    x = 412,221,067.68/23,383.68
  6. Step 6: Final answer
    x = 17,628.58

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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.