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Finding the Fourth Proportional to 15,942.84, 23,915.48 and 4,850.48

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Solution

The fourth proportional to 15,942.84, 23,915.48 and 4,850.48 is: 7,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.84 : 23,915.48 = 4,850.48 : x
  2. Step 2: Convert to fraction form
    15,942.84/23,915.48 = 4,850.48/x
  3. Step 3: Cross multiply
    15,942.84x = 23,915.48 × 4,850.48
  4. Step 4: Simplify right side
    15,942.84x = 116,001,413.60
  5. Step 5: Solve for x
    x = 116,001,413.60/15,942.84
  6. Step 6: Final answer
    x = 7,276.08

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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.