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Finding the Fourth Proportional to 23,118.33, 34,609.89 and 20,902.31

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Solution

The fourth proportional to 23,118.33, 34,609.89 and 20,902.31 is: 31,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.33 : 34,609.89 = 20,902.31 : x
  2. Step 2: Convert to fraction form
    23,118.33/34,609.89 = 20,902.31/x
  3. Step 3: Cross multiply
    23,118.33x = 34,609.89 × 20,902.31
  4. Step 4: Simplify right side
    23,118.33x = 723,426,649.85
  5. Step 5: Solve for x
    x = 723,426,649.85/23,118.33
  6. Step 6: Final answer
    x = 31,292.34

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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.