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Finding the Fourth Proportional to 27,229.35, 40,852.23 and 9,696.90

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Solution

The fourth proportional to 27,229.35, 40,852.23 and 9,696.90 is: 14,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.35 : 40,852.23 = 9,696.90 : x
  2. Step 2: Convert to fraction form
    27,229.35/40,852.23 = 9,696.90/x
  3. Step 3: Cross multiply
    27,229.35x = 40,852.23 × 9,696.90
  4. Step 4: Simplify right side
    27,229.35x = 396,139,989.09
  5. Step 5: Solve for x
    x = 396,139,989.09/27,229.35
  6. Step 6: Final answer
    x = 14,548.27

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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.