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Finding the Fourth Proportional to 22,622.07, 33,938.17 and 6,827.38

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Solution

The fourth proportional to 22,622.07, 33,938.17 and 6,827.38 is: 10,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.07 : 33,938.17 = 6,827.38 : x
  2. Step 2: Convert to fraction form
    22,622.07/33,938.17 = 6,827.38/x
  3. Step 3: Cross multiply
    22,622.07x = 33,938.17 × 6,827.38
  4. Step 4: Simplify right side
    22,622.07x = 231,708,783.09
  5. Step 5: Solve for x
    x = 231,708,783.09/22,622.07
  6. Step 6: Final answer
    x = 10,242.60

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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.