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Finding the Fourth Proportional to 23,540.14, 32,485.09 and 12,929.09

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Solution

The fourth proportional to 23,540.14, 32,485.09 and 12,929.09 is: 17,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.14 : 32,485.09 = 12,929.09 : x
  2. Step 2: Convert to fraction form
    23,540.14/32,485.09 = 12,929.09/x
  3. Step 3: Cross multiply
    23,540.14x = 32,485.09 × 12,929.09
  4. Step 4: Simplify right side
    23,540.14x = 420,002,652.27
  5. Step 5: Solve for x
    x = 420,002,652.27/23,540.14
  6. Step 6: Final answer
    x = 17,841.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.