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Finding the Fourth Proportional to 22,405.47, 33,608.20 and 6,823.23

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Solution

The fourth proportional to 22,405.47, 33,608.20 and 6,823.23 is: 10,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.47 : 33,608.20 = 6,823.23 : x
  2. Step 2: Convert to fraction form
    22,405.47/33,608.20 = 6,823.23/x
  3. Step 3: Cross multiply
    22,405.47x = 33,608.20 × 6,823.23
  4. Step 4: Simplify right side
    22,405.47x = 229,316,293.39
  5. Step 5: Solve for x
    x = 229,316,293.39/22,405.47
  6. Step 6: Final answer
    x = 10,234.84

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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.