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Finding the Fourth Proportional to 23,835.44, 32,892.81 and 13,763.09

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Solution

The fourth proportional to 23,835.44, 32,892.81 and 13,763.09 is: 18,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.44 : 32,892.81 = 13,763.09 : x
  2. Step 2: Convert to fraction form
    23,835.44/32,892.81 = 13,763.09/x
  3. Step 3: Cross multiply
    23,835.44x = 32,892.81 × 13,763.09
  4. Step 4: Simplify right side
    23,835.44x = 452,706,704.38
  5. Step 5: Solve for x
    x = 452,706,704.38/23,835.44
  6. Step 6: Final answer
    x = 18,993.01

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Why These Related Problems?

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