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Finding the Fourth Proportional to 23,468.20, 35,207.51 and 6,829.54

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Solution

The fourth proportional to 23,468.20, 35,207.51 and 6,829.54 is: 10,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.20 : 35,207.51 = 6,829.54 : x
  2. Step 2: Convert to fraction form
    23,468.20/35,207.51 = 6,829.54/x
  3. Step 3: Cross multiply
    23,468.20x = 35,207.51 × 6,829.54
  4. Step 4: Simplify right side
    23,468.20x = 240,450,975.68
  5. Step 5: Solve for x
    x = 240,450,975.68/23,468.20
  6. Step 6: Final answer
    x = 10,245.82

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