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Finding the Fourth Proportional to 23,749.70, 35,623.46 and 13,286.12

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Solution

The fourth proportional to 23,749.70, 35,623.46 and 13,286.12 is: 19,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.70 : 35,623.46 = 13,286.12 : x
  2. Step 2: Convert to fraction form
    23,749.70/35,623.46 = 13,286.12/x
  3. Step 3: Cross multiply
    23,749.70x = 35,623.46 × 13,286.12
  4. Step 4: Simplify right side
    23,749.70x = 473,297,564.38
  5. Step 5: Solve for x
    x = 473,297,564.38/23,749.70
  6. Step 6: Final answer
    x = 19,928.57

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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.