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Finding the Fourth Proportional to 23,863.22, 32,930.35 and 13,253.54

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Solution

The fourth proportional to 23,863.22, 32,930.35 and 13,253.54 is: 18,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.22 : 32,930.35 = 13,253.54 : x
  2. Step 2: Convert to fraction form
    23,863.22/32,930.35 = 13,253.54/x
  3. Step 3: Cross multiply
    23,863.22x = 32,930.35 × 13,253.54
  4. Step 4: Simplify right side
    23,863.22x = 436,443,698.39
  5. Step 5: Solve for x
    x = 436,443,698.39/23,863.22
  6. Step 6: Final answer
    x = 18,289.39

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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.