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Finding the Fourth Proportional to 23,780, 32,816.33 and 13,708.39

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Solution

The fourth proportional to 23,780, 32,816.33 and 13,708.39 is: 18,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780 : 32,816.33 = 13,708.39 : x
  2. Step 2: Convert to fraction form
    23,780/32,816.33 = 13,708.39/x
  3. Step 3: Cross multiply
    23,780x = 32,816.33 × 13,708.39
  4. Step 4: Simplify right side
    23,780x = 449,858,885.93
  5. Step 5: Solve for x
    x = 449,858,885.93/23,780
  6. Step 6: Final answer
    x = 18,917.53

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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.