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Finding the Fourth Proportional to 15,912.50, 23,868.75 and 4,968.50

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Solution

The fourth proportional to 15,912.50, 23,868.75 and 4,968.50 is: 7,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.50 : 23,868.75 = 4,968.50 : x
  2. Step 2: Convert to fraction form
    15,912.50/23,868.75 = 4,968.50/x
  3. Step 3: Cross multiply
    15,912.50x = 23,868.75 × 4,968.50
  4. Step 4: Simplify right side
    15,912.50x = 118,591,884.38
  5. Step 5: Solve for x
    x = 118,591,884.38/15,912.50
  6. Step 6: Final answer
    x = 7,452.75

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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.