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Finding the Fourth Proportional to 24,330.97, 33,578.72 and 13,722.81

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Solution

The fourth proportional to 24,330.97, 33,578.72 and 13,722.81 is: 18,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330.97 : 33,578.72 = 13,722.81 : x
  2. Step 2: Convert to fraction form
    24,330.97/33,578.72 = 13,722.81/x
  3. Step 3: Cross multiply
    24,330.97x = 33,578.72 × 13,722.81
  4. Step 4: Simplify right side
    24,330.97x = 460,794,394.60
  5. Step 5: Solve for x
    x = 460,794,394.60/24,330.97
  6. Step 6: Final answer
    x = 18,938.60

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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.