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Finding the Fourth Proportional to 23,725.44, 35,588.16 and 9,692.09

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Solution

The fourth proportional to 23,725.44, 35,588.16 and 9,692.09 is: 14,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.44 : 35,588.16 = 9,692.09 : x
  2. Step 2: Convert to fraction form
    23,725.44/35,588.16 = 9,692.09/x
  3. Step 3: Cross multiply
    23,725.44x = 35,588.16 × 9,692.09
  4. Step 4: Simplify right side
    23,725.44x = 344,923,649.65
  5. Step 5: Solve for x
    x = 344,923,649.65/23,725.44
  6. Step 6: Final answer
    x = 14,538.14

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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.