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Finding the Fourth Proportional to 23,716.94, 35,563.46 and 7,916.49

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Solution

The fourth proportional to 23,716.94, 35,563.46 and 7,916.49 is: 11,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.94 : 35,563.46 = 7,916.49 : x
  2. Step 2: Convert to fraction form
    23,716.94/35,563.46 = 7,916.49/x
  3. Step 3: Cross multiply
    23,716.94x = 35,563.46 × 7,916.49
  4. Step 4: Simplify right side
    23,716.94x = 281,537,735.87
  5. Step 5: Solve for x
    x = 281,537,735.87/23,716.94
  6. Step 6: Final answer
    x = 11,870.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.