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Finding the Fourth Proportional to 20,395.14, 30,592.82 and 9,294.29

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Solution

The fourth proportional to 20,395.14, 30,592.82 and 9,294.29 is: 13,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395.14 : 30,592.82 = 9,294.29 : x
  2. Step 2: Convert to fraction form
    20,395.14/30,592.82 = 9,294.29/x
  3. Step 3: Cross multiply
    20,395.14x = 30,592.82 × 9,294.29
  4. Step 4: Simplify right side
    20,395.14x = 284,338,571.01
  5. Step 5: Solve for x
    x = 284,338,571.01/20,395.14
  6. Step 6: Final answer
    x = 13,941.49

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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.