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Finding the Fourth Proportional to 23,171.85, 31,982.40 and 13,106.12

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Solution

The fourth proportional to 23,171.85, 31,982.40 and 13,106.12 is: 18,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.85 : 31,982.40 = 13,106.12 : x
  2. Step 2: Convert to fraction form
    23,171.85/31,982.40 = 13,106.12/x
  3. Step 3: Cross multiply
    23,171.85x = 31,982.40 × 13,106.12
  4. Step 4: Simplify right side
    23,171.85x = 419,165,012.38
  5. Step 5: Solve for x
    x = 419,165,012.38/23,171.85
  6. Step 6: Final answer
    x = 18,089.41

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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.