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Finding the Fourth Proportional to 23,609.36, 35,436 and 11,930.78

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Solution

The fourth proportional to 23,609.36, 35,436 and 11,930.78 is: 17,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.36 : 35,436 = 11,930.78 : x
  2. Step 2: Convert to fraction form
    23,609.36/35,436 = 11,930.78/x
  3. Step 3: Cross multiply
    23,609.36x = 35,436 × 11,930.78
  4. Step 4: Simplify right side
    23,609.36x = 422,779,120.08
  5. Step 5: Solve for x
    x = 422,779,120.08/23,609.36
  6. Step 6: Final answer
    x = 17,907.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.