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Finding the Fourth Proportional to 23,021.42, 34,534.09 and 6,381.46

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Solution

The fourth proportional to 23,021.42, 34,534.09 and 6,381.46 is: 9,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.42 : 34,534.09 = 6,381.46 : x
  2. Step 2: Convert to fraction form
    23,021.42/34,534.09 = 6,381.46/x
  3. Step 3: Cross multiply
    23,021.42x = 34,534.09 × 6,381.46
  4. Step 4: Simplify right side
    23,021.42x = 220,377,913.97
  5. Step 5: Solve for x
    x = 220,377,913.97/23,021.42
  6. Step 6: Final answer
    x = 9,572.73

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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.