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Finding the Fourth Proportional to 13,229.14, 18,256.78 and 7,922.94

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Solution

The fourth proportional to 13,229.14, 18,256.78 and 7,922.94 is: 10,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.14 : 18,256.78 = 7,922.94 : x
  2. Step 2: Convert to fraction form
    13,229.14/18,256.78 = 7,922.94/x
  3. Step 3: Cross multiply
    13,229.14x = 18,256.78 × 7,922.94
  4. Step 4: Simplify right side
    13,229.14x = 144,647,372.53
  5. Step 5: Solve for x
    x = 144,647,372.53/13,229.14
  6. Step 6: Final answer
    x = 10,934.00

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