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Finding the Fourth Proportional to 20,658.06, 30,981.56 and 8,968.50

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Solution

The fourth proportional to 20,658.06, 30,981.56 and 8,968.50 is: 13,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.06 : 30,981.56 = 8,968.50 : x
  2. Step 2: Convert to fraction form
    20,658.06/30,981.56 = 8,968.50/x
  3. Step 3: Cross multiply
    20,658.06x = 30,981.56 × 8,968.50
  4. Step 4: Simplify right side
    20,658.06x = 277,858,076.02
  5. Step 5: Solve for x
    x = 277,858,076.02/20,658.06
  6. Step 6: Final answer
    x = 13,450.35

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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.