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Finding the Fourth Proportional to 22,954.10, 34,445.71 and 9,806.57

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Solution

The fourth proportional to 22,954.10, 34,445.71 and 9,806.57 is: 14,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.10 : 34,445.71 = 9,806.57 : x
  2. Step 2: Convert to fraction form
    22,954.10/34,445.71 = 9,806.57/x
  3. Step 3: Cross multiply
    22,954.10x = 34,445.71 × 9,806.57
  4. Step 4: Simplify right side
    22,954.10x = 337,794,045.05
  5. Step 5: Solve for x
    x = 337,794,045.05/22,954.10
  6. Step 6: Final answer
    x = 14,716.07

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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.