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Finding the Fourth Proportional to 23,469.76, 35,202.88 and 6,829.92

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Solution

The fourth proportional to 23,469.76, 35,202.88 and 6,829.92 is: 10,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469.76 : 35,202.88 = 6,829.92 : x
  2. Step 2: Convert to fraction form
    23,469.76/35,202.88 = 6,829.92/x
  3. Step 3: Cross multiply
    23,469.76x = 35,202.88 × 6,829.92
  4. Step 4: Simplify right side
    23,469.76x = 240,432,854.17
  5. Step 5: Solve for x
    x = 240,432,854.17/23,469.76
  6. Step 6: Final answer
    x = 10,244.37

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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.