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Finding the Fourth Proportional to 23,930.84, 33,023.76 and 13,320.92

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Solution

The fourth proportional to 23,930.84, 33,023.76 and 13,320.92 is: 18,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.84 : 33,023.76 = 13,320.92 : x
  2. Step 2: Convert to fraction form
    23,930.84/33,023.76 = 13,320.92/x
  3. Step 3: Cross multiply
    23,930.84x = 33,023.76 × 13,320.92
  4. Step 4: Simplify right side
    23,930.84x = 439,906,865.06
  5. Step 5: Solve for x
    x = 439,906,865.06/23,930.84
  6. Step 6: Final answer
    x = 18,382.42

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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.